Taiwanese Journal of Mathematics

REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS AND APPLICATIONS

Kai-Chen Hsu

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Abstract

In this paper, we shall establish some inequalities for differentiable co-ordinated convex and concave functions on a rectangle from the plane. They are connected with the left side of extended Hermite-Hadamard inequality in two variables. Also, these inequalities are able to be applied to some special means and cubature formulae.

Article information

Source
Taiwanese J. Math., Volume 19, Number 1 (2015), 133-157.

Dates
First available in Project Euclid: 4 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499133622

Digital Object Identifier
doi:10.11650/tjm.19.2015.4504

Mathematical Reviews number (MathSciNet)
MR3313409

Zentralblatt MATH identifier
1357.26033

Subjects
Primary: 26D15: Inequalities for sums, series and integrals
Secondary: 26A51: Convexity, generalizations

Keywords
Hermite-Hadamard's inequality convex function co-ordintaed convex function Hölder's inequality Jensen's integral inequality

Citation

Hsu, Kai-Chen. REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS AND APPLICATIONS. Taiwanese J. Math. 19 (2015), no. 1, 133--157. doi:10.11650/tjm.19.2015.4504. https://projecteuclid.org/euclid.twjm/1499133622


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