New Inequalities for Strongly r-Convex Functions

Author:

Kadakal Huriye1ORCID

Affiliation:

1. Ministry of Education, Bulancak Bahçelievler Anatolian High School, Giresun, Turkey

Abstract

In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. Moreover, by using an integral identity together with some well known integral inequalities, we establish several new inequalities for n-times differentiable strongly r-convex functions. In special cases, the results obtained coincide with the well-known results in the literature.

Publisher

Hindawi Limited

Subject

Analysis

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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3. Generalized strongly n-polynomial convex functions and related inequalities;Boundary Value Problems;2024-02-26

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