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Volume 12
Issue 2
10.3390/axioms12020106
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Article

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

by
Wedad Saleh
1,* and
Adem Kılıçman
2
1
Department of Mathematics, Taibah University, Al-Medina 42353, Saudi Arabia
2
Department of Mathematics and Statistics, Universiti Putra Malaysia, Serdang 43400, Malaysia
*
Author to whom correspondence should be addressed.
Axioms 2023, 12(2), 106; https://doi.org/10.3390/axioms12020106
Submission received: 27 December 2022 / Revised: 17 January 2023 / Accepted: 17 January 2023 / Published: 19 January 2023
(This article belongs to the Special Issue Dedicated to Professor Hari Mohan Srivastava on the Occasion of His 82nd Birthday)
Review Reports Versions Notes

Abstract

Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially (s,m)-convex functions and local fractional integrals. The properties of the generalized new special cases of (s,m)-convex functions, s-convex functions, and also generalized m-convex functions are impressive. We derive some inequalities of Hadamard’s type for generalized exponentially (s,m)-convex functions, and give applications in probability density functions and generalized special methods to attest to the applicability and efficiency of the method under consideration.
Keywords: convex function; exponentially convex; m-convex function; s-convex function convex function; exponentially convex; m-convex function; s-convex function

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MDPI and ACS Style

Saleh, W.; Kılıçman, A. Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity. Axioms 2023, 12, 106. https://doi.org/10.3390/axioms12020106

AMA Style

Saleh W, Kılıçman A. Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity. Axioms. 2023; 12(2):106. https://doi.org/10.3390/axioms12020106

Chicago/Turabian Style

Saleh, Wedad, and Adem Kılıçman. 2023. "Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity" Axioms 12, no. 2: 106. https://doi.org/10.3390/axioms12020106

APA Style

Saleh, W., & Kılıçman, A. (2023). Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity. Axioms, 12(2), 106. https://doi.org/10.3390/axioms12020106

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