Li Ma, Guangzhengao Yang
Abstract:
In this article, we study basic properties of exp-convex functions and establish the
corresponding Hadamard type integral inequalities along with fractional operators.
A comparative analysis between the exp-convexity and classic convexity is discussed.
Furthermore,
several related integral identities and estimation of upper bounds of inequalities
involved with fractional operators are proved. In addition, some indispensable propositions
associated with special means are allocated to illustrate the usefulness of our main results.
Besides, Mittag-Leffler type convex functions with weaker convexity than exp-convexity are
also presented.
Submitted May 13, 2020. Published April 28, 2021.
Math Subject Classifications: 26A33, 35A23.
Key Words: Exp-convexity; Hadamard type integral inequalities;
fractional calculus; Mittag-Leffler type convexity.
DOI: https://doi.org/10.58997/ejde.2021.33
Show me the PDF file (335 KB), TEX file for this article.
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Li Ma School of Mathematics Hefei University of Technology Hefei, Anhui 230601, China email: mali@hfut.edu.cn |
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Guangzhengao Yang School of Computer Science and Information Engineering Hefei University of Technology Hefei, Anhui 230601, China email: 2018211905@mail.hfut.edu.cn |
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