Generalizations of Hermite-Hadamard, Bullen and Simpson inequalities via h−convexity

Musa Çakmak; Mevlüt Tunç

doi:10.2478/gm-2022-0006

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Generalizations of Hermite-Hadamard, Bullen and Simpson inequalities via h−convexity

General Mathematics

Volume 30 (2022): Issue 1 (June 2022)

By: Musa Çakmak and Mevlüt Tunç

Open Access

|Nov 2023

Abstract

In this paper, the authors established a new identity for differentiable functions, afterward, they obtained some new general inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. On the other hand, a general inequality is studied, which gives Hermite-Hadamard, Bullen and Simpson inequalities. Also, they gave some applications for special means for arbitrary positive numbers.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2022-0006 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 77 - 95

Submitted on: May 20, 2021

Accepted on: Jul 13, 2022

Published on: Nov 24, 2023

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2023 Musa Çakmak, Mevlüt Tunç, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 1 (June 2022)