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2015 REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS AND APPLICATIONS
Kai-Chen Hsu
Taiwanese J. Math. 19(1): 133-157 (2015). DOI: 10.11650/tjm.19.2015.4504

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.

Citation

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Kai-Chen Hsu. "REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS AND APPLICATIONS." Taiwanese J. Math. 19 (1) 133 - 157, 2015. https://doi.org/10.11650/tjm.19.2015.4504

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.26033
MathSciNet: MR3313409
Digital Object Identifier: 10.11650/tjm.19.2015.4504

Subjects:
Primary: 26D15
Secondary: 26A51‎

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

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 1 • 2015
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