Journal of Computational and Applied Mathematics2022,Vol.4066.DOI:10.1016/j.cam.2021.114049

Discussions on two integral inequalities of Hermite-Hadamard type for convex functions

Wu, Ying Qi, Feng
Journal of Computational and Applied Mathematics2022,Vol.4066.DOI:10.1016/j.cam.2021.114049

Discussions on two integral inequalities of Hermite-Hadamard type for convex functions

Wu, Ying 1Qi, Feng2
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作者信息

  • 1. Inner Mongolia Minzu Univ
  • 2. Henan Polytech Univ
  • 折叠

Abstract

In the paper, the authors, (1) by constructing a counterexample and utilizing Minkowski's inequality, demonstrate that there existed errors in the proofs of Theorems 1 and 2 in the paper "Mehrez and Agarwal, (2019)"; (2) with the help of an integral identity and by means of Holder's integral inequality, present a new integral inequality of the Hermite-Hadamard type for convex functions. (c) 2021 Elsevier B.V. All rights reserved.

Key words

Integral inequality/Convex function/Hermite-Hadamard type/Counterexample/Holder's integral inequality/Minkowski's inequality

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量1
参考文献量4
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