## Research Repository

# Browse by Author: Barnett, Neil S

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**90**.

## Article

Barnett, Neil S, Dragomir, Sever S and Gomm, Ian
(2010)
*On some integral inequalities related to the Cauchy-Bunyakovsky-Schwarz Inequality.*
Applied Math Letters, 23 (9).
pp. 1008-1012.
ISSN 0893-9659

Ahmad, Farooq, Barnett, Neil S and Dragomir, Sever S
(2009)
*New weighted Ostrowski and Cebysev type inequalities.*
Nonlinear analysis: theory, methods and applications, 71 (12).
e1408-e1412.
ISSN 0362-546x

Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2009)
*Majorisation inequalities for Stieltjes integrals.*
Applied Math Letters, 22 (3).
pp. 416-421.
ISSN 0893-9659

Barnett, Neil S, Cheung, Wing Sum, Dragomir, Sever S and Sofo, Anthony
(2009)
*Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators.*
Computers and Mathematics with Applications, 57 (2).
pp. 195-201.
ISSN 0898-1221

Barnett, Neil S and Dragomir, Sever S
(2009)
*The Beesack-Darst-Pollard inequalities and approximations of the Riemann-Stieltjes integral.*
Appliedied Mathematics Letters, 22 (1).
pp. 58-63.
ISSN 0893-9659

Barnett, Neil S, Dragomir, Sever S and Gomm, Ian
(2009)
*A companion for the Ostrowski and the generalized trapezoid inequalities.*
Mathematical and Computer Modelling, 50 (1-2).
pp. 179-187.
ISSN 0895-7177

Barnett, Neil S, Dragomir, Sever S and Gomm, Ian
(2009)
*On Some Integral Inequalities Related to the Cauchy-Bunyakovsky-Schwarz Inequality.*
Research report collection, 12 (2).

Barnett, Neil S and Dragomir, Sever S
(2008)
*Some New Inequalities for Convex Functions with Applications in Normed Spaces.*
Mathematical Inequalities and Applications, 11 (4).
pp. 667-678.
ISSN 1331-4343

Barnett, Neil S and Dragomir, Sever S
(2008)
*An Additive Reverse of the Cauchy-Bunyakovsky-Schwarz Integral Inequality.*
Applied Math Letters, 21 (4).
pp. 388-393.
ISSN 0893-9659

Barnett, Neil S and Dragomir, Sever S
(2008)
*On an Inequality of the Lupas Type.*
Demonstratio Mathematica, 41 (1).
pp. 57-62.
ISSN 0420-1213

Barnett, Neil S, Dragomir, Sever S and Gomm, Ian
(2008)
*A Companion for the Ostrowski and the Generalised Trapezoid Inequalities.*
Research report collection, 11 (2).

Barnett, Neil S, Buse, Constantin, Cerone, Pietro and Dragomir, Sever S
(2007)
*Some Gruss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications.*
Tamsui Oxford University Journal of Mathematical Sciences, 23 (1).
pp. 91-103.
ISSN 1561-8307

Barnett, Neil S and Dragomir, Sever S
(2007)
*Bounds for the Cebysev Functional of a Convex and a Bounded Function.*
General Mathematics, 15 (1).
pp. 59-66.
ISSN 1221-5023

Barnett, Neil S and Dragomir, Sever S
(2007)
*On the Weighted Ostrowski Inequality.*
Journal of Inequalities in Pure and Applied Mathematics, 8 (4).
pp. 1-10.
ISSN 1443-5756

Barnett, Neil S and Dragomir, Sever S
(2007)
*On Some Inequalities for Convex Functions with Applications in Normed Spaces.*
Research report collection, 10 (1).

Barnett, Neil S and Dragomir, Sever S
(2007)
*The Beesack-Darst-Pollard Inequalities and Approximation of the Riemann-Stieltjes Integral.*
Research report collection, 10 (2).

Barnett, Neil S and Dragomir, Sever S
(2007)
*Some Results Related to the Cauchy-Bunyakovsky-Schwarz Inequality.*
Research report collection, 10 (4).

Barnett, Neil S and Dragomir, Sever S
(2007)
*On an Inequality of the Lupaş Type.*
Research report collection, 10 (Supp).

Barnett, Neil S, Buse, Constantin, Cerone, Pietro and Dragomir, Sever S
(2006)
*Integral Characterizations for Exponential Stability of Semigroups and Evolution Families on Banach Spaces.*
Bulletin of the Belgian Mathematical Society, 13 (2).
pp. 345-353.
ISSN 1370-1444

Barnett, Neil S and Dragomir, Sever S
(2006)
*Some inequalities for a singular integral.*
Journal of the Indonesian Mathematical Society, 12 (2).
pp. 175-183.
ISSN 0854-1388

Dragomir, Sever S and Barnett, Neil S
(2006)
*Applications of Ostrowski's version of the Gruss inequality for trapezoid type rules.*
Tamkang Journal of Mathematics, 37 (2).
pp. 163-173.
ISSN 0049-2930

Dragomir, Sever S and Barnett, Neil S
(2006)
*Integral Inequalities on Infinite Intervals.*
Demonstratio Mathematica, 39 (3).
pp. 507-514.
ISSN 0420-1213

Dragomir, Sever S and Barnett, Neil S
(2006)
*Some Landau Type Inequalities for Functions whose Derivatives are of locally bounded variation.*
Tamkang Journal of Mathematics, 37 (4).
pp. 301-308.
ISSN 0049-2930

Barnett, Neil S, Cheung, Wing Sum, Dragomir, Sever S and Sofo, Anthony
(2006)
*Ostrowski and Trapezoid Type Inequalities for the Stieltjes Integral with Lipschitzian Integrands or Integrators.*
Research report collection, 9 (4).

Agarwal, R. P, Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2005)
*A survey on some inequalities for expectation and variance.*
Computers & Mathematics with Applications, 49 (2-3).
pp. 429-480.
ISSN 0898-1221

Barnett, Neil S and Dragomir, Sever S
(2005)
*Integral Inequalities on Infinite Intervals.*
Research report collection, 8 (1).

Barnett, Neil S and Dragomir, Sever S
(2005)
*Some Landau Type Inequalities for Functions Whose Derivatives are of Locally Bounded Variation.*
Research report collection, 8 (1).

Barnett, Neil S, Buşe, Constantin, Cerone, Pietro and Dragomir, Sever S
(2005)
*Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications.*
Research report collection, 8 (2).

Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2005)
*Majorisation Inequalities for Stieltjes Integrals.*
Research report collection, 8 (2).

Barnett, Neil S and Dragomir, Sever S
(2005)
*Bounds for the Čebyšev Functional of a Convex and a Bounded Function.*
Research report collection, 8 (3).

Barnett, Neil S and Dragomir, Sever S
(2005)
*Some Inequalities for a Singular Integral.*
Research report collection, 8 (3).

Barnett, Neil S and Dragomir, Sever S
(2004)
*Some further inequalities for univariate moments and some new ones for the covariance.*
Computers & Mathematics with Applications, 47 (1).
pp. 23-36.
ISSN 0898-1221

Barnett, Neil S, Dragomir, Sever S and Hanna, George T
(2004)
*Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation.*
RGMIA research report collection, 7 (1).

Barnett, Neil S and Dragomir, Sever S
(2004)
*Some Remarks on the Noiseless Coding Theorem.*
Research report collection, 7 (2).

Buşe, Constantin, Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2004)
*Integral Characterizations for Exponential Stability of Semigroups and Evolution Families on Banach Spaces.*
Research report collection, 7 (3).

Buşe, Constantin, Cerone, Pietro, Dragomir, Sever S and Barnett, Neil S
(2004)
*Strong Stability of Periodic Discrete Systems in Banach Spaces.*
Research report collection, 7 (3).

Barnett, Neil S, Cho, Yeol Je, Dragomir, Sever S, Kang, S. M and Kim, Seong Sik
(2003)
*Some Bombieri, Selberg and Heilbronn Type Inequalities in 2-Inner Product Spaces.*
RGMIA research report collection, 6 (Supp).

Barnett, Neil S and Dragomir, Sever S
(2003)
*An Identity for n-time Differentiable Functions and Applications for Ostrowski Type Inequalities.*
RGMIA research report collection, 6 (2).

Barnett, Neil S and Dragomir, Sever S
(2002)
*Bounds in terms of the fourth derivative for the remainder in the corrected trapezoid formula.*
Computers & mathematics with applications, 44 (5-6).
pp. 595-605.
ISSN 0898-1221

Barnett, Neil S and Dragomir, Sever S
(2002)
*Applications of Ostrowski's Version of the Grüss Inequality for Trapezoid Type Rules.*
RGMIA research report collection, 5 (4).

Barnett, Neil S, Dragomir, Sever S and Agarwal, R. P
(2002)
*Some inequalities for probalility, expectation, and variance of random variables defined over a finite interval.*
Computers & Mathematics with Applications, 43 (10-11).
pp. 1319-1357.
ISSN 0898-1221

Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Fink, Arlington A
(2002)
*Comparing two integral means for absolutely continuous mappings whose derivatives are in L∞[a,b] and applications.*
Computers & mathematics with applications, 44 (1/2).
pp. 241-251.
ISSN 0898-1221

Barnett, Neil S and Dragomir, Sever S
(2002)
*An Approximation For The Fourier Transform Of Absolutely Continuous Mappings.*
RGMIA research report collection, 5 (Supp).

Barnett, Neil S, Cirstea, Florica-Corina and Dragomir, Sever S
(2001)
*Some Inequalities for the Integral Mean of Hölder Continuous Functions Defined on Disks in a Plane.*
RGMIA research report collection, 5 (1).

Barnett, Neil S and Dragomir, Sever S
(2001)
*A trapezoid type inequality for double integrals.*
Nonlinear analysis, 47 (4).
pp. 2321-2332.
ISSN 0362-546x

Barnett, Neil S, Buse, Constantin, Cerone, Pietro and Dragomir, Sever S
(2001)
*On Weighted Ostrowski Type Inequalities for Operators and Vector-Valued Functions.*
RGMIA research report collection, 4 (3).

Barnett, Neil S, Buse, Constantin, Cerone, Pietro and Dragomir, Sever S
(2001)
*Ostrowski's Inequality for Vector-Valued Functions and Applications.*
RGMIA research report collection, 4 (3).

Barnett, Neil S and Dragomir, Sever S
(2001)
*On the Perturbed Trapezoid Formula.*
RGMIA research report collection, 4 (2).

Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S, Pinheiro, M. R and Sofo, Anthony
(2001)
*Ostrowski Type Inequalities for Functions whose Modulus of the Derivatives are Convex and Applications.*
RGMIA research report collection, 5 (2).

Barnett, Neil S and Dragomir, Sever S
(2001)
*A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications.*
RGMIA research report collection, 4 (2).

Barnett, Neil S and Dragomir, Sever S
(2001)
*An Ostrowski Type Inequality for Double Integrals and Applications for Cubature Formulae.*
RGMIA research report collection, 1 (1).

Barnett, Neil S and Dragomir, Sever S
(2000)
*Some Further Inequalities for Univariate Moments and Some New Ones for the Covariance.*
RGMIA research report collection, 3 (4).

Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2000)
*Some New Inequalities for Hermite-Hadamard Divergence in Information Theory.*
RGMIA research report collection, 5 (4).

Barnett, Neil S, Dragomir, Sever S and Sofo, Anthony
(2000)
*Better Bounds for an Inequality of the Ostrowski Type with Applications.*
RGMIA research report collection, 3 (1).

Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2000)
*Further Inequalities for the Expectation and Variance of a Random Variable Defined on a Finite Interval.*
RGMIA research report collection, 3 (1).

Barnett, Neil S and Dragomir, Sever S
(2000)
*Some Inequalities for Random Variables whose Probability Density Functions are Absolutely Continuous Using a Pre-Chebychev Inequality.*
RGMIA research report collection, 3 (1).

Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John
(2000)
*Some Inequalities for the Expectation and Variance of a Random Variable whose PDF is n-Time Differentiable.*
RGMIA research report collection, 3 (1).

Barnett, Neil S and Dragomir, Sever S
(2000)
*A Trapezoid Type Inequality for Double Integrals.*
RGMIA research report collection, 3 (4).

Barnett, Neil S and Dragomir, Sever S
(1999)
*Some Elementary Inequalities for the Expectation and Variance of a Random Variable whose PDF is defined on a Finite Interval.*
RGMIA research report collection, 2 (7).

Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John
(1999)
*Some Inequalities for the Dispersion of a Random Variable whose PDF is Defined on a Finite Interval.*
RGMIA research report collection, 2 (7).

Barnett, Neil S and Dragomir, Sever S
(1999)
*Some Inequalities for Random Variables whose Probability Density Functions are Bounded using a Pre-Grüss Inequality.*
RGMIA research report collection, 2 (6).

Dragomir, Sever S, Cerone, Pietro, Barnett, Neil S and Roumeliotis, John
(1999)
*An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae.*
RGMIA research report collection, 2 (6).

Barnett, Neil S and Dragomir, Sever S
(1999)
*Issues of Estimation in the Monitoring of Constant Flow Continuous Streams.*
RGMIA research report collection, 2 (3).

Barnett, Neil S, Dragomir, Sever S and Gomm, Ian
(1999)
*Further Bounds for the Estimation Error Variance of a Continuous Stream with Stationary Variogram.*
RGMIA research report collection, 2 (2).

Dragomir, Sever S, Agarwal, R. P and Barnett, Neil S
(1999)
*Inequalities for Beta and Gamma Functions Via
Some Classical and New Integral Inequalities.*
RGMIA research report collection, 2 (3).

Dragomir, Sever S, Barnett, Neil S and Wang, Song
(1999)
*An Ostrowski Type Inequality for a Random Variable Whose Probability Density Fuction Belongs To Lp [A,B], P > 1.*
RGMIA research report collection, 2 (1).

Dragomir, Sever S, Barnett, Neil S and Cerone, Pietro
(1999)
*An N-Dimensional Version of Ostrowski's Inequality For Mappings of the Hölder Type.*
RGMIA research report collection, 2 (2).

Barnett, Neil S and Dragomir, Sever S
(1998)
*A Note on Bounds for the Estimation Error
Variance of a Continuous Stream With Stationary Variogram.*
RGMIA research report collection, 1 (2).

Dragomir, Sever S and Barnett, Neil S
(1998)
*An Ostrowski Type Inequality for Mappings Whose Second Derivatives are Bounded and Applications.*
RGMIA research report collection, 1 (2).

Dragomir, Sever S, Barnett, Neil S and Cerone, Pietro
(1998)
*An Ostrowski type Inequality for Double Integrals in Terms of Lp- Norms and Applications in Numerical Integration.*
RGMIA research report collection, 1 (2).

Barnett, Neil S and Dragomir, Sever S
(1998)
*An Ostrowski's Type Inequality for a Random Variable whose Probability Density Function Belongs to L∞ [A,B].*
RGMIA research report collection, 1 (1).

Barnett, Neil S and Dragomir, Sever S
(1998)
*An Inequality of Ostrowski's Type of Cumulative Distribution Functions.*
RGMIA research report collection, 1 (1).

## Book Section

Barnett, Neil S and Dragomir, Sever S
(2008)
*A survey of recent inequalities for ø-divergences of discrete probability distributions.*
In:
Advances in Inequalities from Probability Theory and Statistics.
Barnett, Neil S and Dragomir, Sever S, eds.
Advances in mathematical inequalities
.
Nova Science Publishers, New York, USA, pp. 1-79.

Cerone, Pietro and Dragomir, Sever S
(2008)
*A survey on bounds for the Gini mean difference.*
In:
Advances in inequalities from probability theory and statistics.
Barnett, Neil S and Dragomir, Sever S, eds.
Advances in mathematical inequalities
.
Nova Science Publishers, New York, USA, pp. 81-111.

Sharma, R, Shandil, R, Devi, S, Ram, S, Kapoor, G and Barnett, Neil S
(2008)
*Some Bounds on the Sample Variance in Terms of the Mean and Extreme Values.*
In:
Advances in Inequalities from Probability Theory and Statistics.
Barnett, Neil S and Dragomir, Sever S, eds.
Advances in mathematical inequalities
.
Nova Science Publishers, New York, USA, pp. 163-168.

Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Sofo, Anthony
(2008)
*Approximations of f-Divergence Measures via Taylor Series Expansions : A Survey of Recent Results.*
In:
Advances in Inequalities for Series.
Dragomir, Sever S and Sofo, Anthony, eds.
Advances in Mathematical Inequalities
.
Nova Science Publishers, New York, USA, pp. 23-64.

## Monograph

Misiorek, Violetta Iwona and Barnett, Neil S
(1996)
*Mean selection for a filling process with implications to 'Weights and Measures' requirements.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Tang, Pak Fai and Barnett, Neil S
(1996)
*Dispersion control for multivariate processes.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Tang, Pak Fai and Barnett, Neil S
(1996)
*Dispersion control for multivariate processes - some comparisons.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Misiorek, Violetta Iwona and Barnett, Neil S
(1995)
*Factors affecting the choice of target for a process with 'top-up' and 'give-away'.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Tang, Pak Fai and Barnett, Neil S
(1994)
*Capability indices for multivariate processes.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Tang, Pak Fai and Barnett, Neil S
(1994)
*SPC for short production runs : a review and literature survey.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Tang, Pak Fai and Barnett, Neil S
(1993)
*A statistical comparison of mean and range charts with the method of pre-control.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Barnett, Neil S, Gomm, Ian and Armour, Len
(1993)
*The optimal sampling point for the quality assessment of continuous streams.*
Technical Report.
Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

Barnett, Neil S
(1991)
*The validity of sampling theory ...... a response.*
Technical Report.
Footscray Institute of Technology. Department of Mathematics, Computing and Operations Research, Footscray, Vic.

Barnett, Neil S
(1991)
*Some management and statistical issues affecting quality improvement in Australia.*
Technical Report.
Victoria University of Technology. Department of Mathematics, Computing and Operations Research, Footscray, Vic.

Barnett, Neil S
(1990)
*The dire dangers of dabbling with data.*
Technical Report.
Footscray Institute of Technology. Department of Mathematics, Computing and Operations Research, Footscray, Vic.

Barnett, Neil S
(1990)
*Measuring process capability.*
Technical Report.
Footscray Institute of Technology. Department of Mathematics, Computing and Operations Research, Footscray, Vic.

## Book

Barnett, Neil S and Dragomir, Sever S, eds.
(2008)
*Advances in Inequalities from Probability Theory and Statistics.*
Advances in mathematical inequalities series
.
Nova Science Publishers, New York.

Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S
(2008)
*Inequalities for Distributions on a Finite Interval.*
Advances in mathematical inequalities
.
Nova Science Publishers, New York.