Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications

Cerone, Pietro and Dragomir, Sever S (2004) Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications. Research report collection, 7 (2).

Abstract

Some new inequalities for the Čebyšev functional in terms of the first derivative and applications for Taylor’s expansion and generalised trapezoid formula are pointed out.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17161
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Čebyšev functional, Grüss inequality, Čebyšev inequality, Ostrowski inequality, generalised trapezoid formula, Taylor's expansion, Lupaş's inequality
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