Giaccardi Inequality for Modified <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>h</mi> </math>-Convex Functions and Mean Value Theorems-Reference-Cited by-同舟云学术

Giaccardi Inequality for Modified $h$ -Convex Functions and Mean Value Theorems

Author:

Liu Yonghong¹^ORCID,Iqbal Wasim²,Rehman Atiq Ur³^ORCID,Farid Ghulam³^ORCID,Nonlaopon Kamsing⁴^ORCID

Affiliation:

1. School of Computer Science, Chengdu University, Chengdu, 610106, China

2. Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

4. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

In this article, we consider the class of modified

h -

convex functions and derive the famous Giaccardi and Petrovi

c^{'}

type inequalities for this class of functions. The mean value theorems for the functionals due to Giaccardi and Petrovi

c^{'}

type inequalities are formulated. Some special cases are discussed by taking different examples of function

h

Funder

Erasmus+ SHYFTE Project

Publisher

Hindawi Limited

Subject

Analysis

Link

Reference19 articles.

1. Some generalizations of the convexity;G. Toader

3. On (h-m)-convexity and Hadamard-type inequalities;M. E. Özdemir,2011

4. A note on modular spaces I;W. Orlicz;Bulletin of the Polish Academy of Sciences Mathematics,1961

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