Some New Fractional Inequalities Defined Using cr-Log-h-Convex Functions and Applications

Author:

Mehmood Sikander1ORCID,Mohammed Pshtiwan Othman23ORCID,Kashuri Artion4ORCID,Chorfi Nejmeddine5ORCID,Mahmood Sarkhel Akbar6ORCID,Yousif Majeed A.7ORCID

Affiliation:

1. Department of Mathematics, Government Graduate College, Sahiwal 57000, Pakistan

2. Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah 46001, Iraq

3. Research and Development Center, University of Sulaimani, Sulaymaniyah 46001, Iraq

4. Department of Mathematical Engineering, Polytechnic University of Tirana, 1001 Tirana, Albania

5. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

6. Computer Science Department of Physics, College of Science, University of Halabja, Halabja 46018, Iraq

7. Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq

Abstract

There is a strong correlation between the concept of convexity and symmetry. One of these is the class of interval-valued cr-log-h-convex functions, which is closely related to the theory of symmetry. In this paper, we obtain Hermite–Hadamard and its weighted version inequalities that are related to interval-valued cr-log-h-convex functions, and some known results are recaptured. To support our main results, we offer three examples and two applications related to modified Bessel functions and special means as well.

Funder

King Saud University

Publisher

MDPI AG

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5. Mitrinović, D.S. (2012). Analytic Inequalities, Springer.

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