Generalizations of Hermite-Hadamard, Bullen and Simpson inequalities via <i>h−</i>convexity-Reference-Cited by-同舟云学术

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

Published:2022-06-01 Issue:1 Volume:30 Page:77-95
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Çakmak Musa¹,Tunç Mevlüt²

Affiliation:

1. 1 Mustafa Kemal University, Yayladağı Vocational School , Department of Tax and Accounting, Mustafa Kemal University , Yayladağı Vocational School, Hatay , Turkey

2. 2 Mustafa Kemal University, Faculty of Science Department of Mathematics , Saraykent M. 273. S. Ayça Apt., Hatay , Turkey

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/gm-2022-0006

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