Research Repository

New Upper and Lower Bounds for the Čebyšev Functional

Cerone, Pietro and Dragomir, Sever S (2002) New Upper and Lower Bounds for the Čebyšev Functional. RGMIA research report collection, 5 (Supp).

[img] Text
NULBCF.pdf
Restricted to Repository staff only

Download (182kB)

Abstract

New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stieltjes integral. A refinement of the classical Čebyšev inequality is produced for f monotonic non-decreasing, g continuous and M(g; t, b) −M(g; a, t) ≥ 0, for t ∈ [a, b] where M(g; c, d) is the integral mean over [c, d].

Item Type: Article
Uncontrolled Keywords: Čebyšev functional, bounds, refinement
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:23
Last Modified: 23 May 2013 16:54
URI: http://vuir.vu.edu.au/id/eprint/18091
ePrint Statistics: View download statistics for this item

Repository staff only

View Item View Item

Search Google Scholar