On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications-Reference-Cited by-同舟云学术

On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications

Published:2023-02-25 Issue:3 Volume:7 Page:215
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Sahoo Soubhagya Kumar¹^ORCID,Kashuri Artion²^ORCID,Aljuaid Munirah³^ORCID,Mishra Soumyarani⁴^ORCID,De La Sen Manuel⁵^ORCID

Affiliation:

1. Department of Mathematics, C.V. Raman Global University, Bhubaneswar 752054, India

2. Department of Mathematics, Faculty of Technical and Natural Sciences, University Ismail Qemali, 9400 Vlora, Albania

3. Department of Mathematics, College of Science, Northern Border University, Arar 73213, Saudi Arabia

4. Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Bhubaneswar 751030, India

5. Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of Basque Country, 48940 Leioa, Spain

Abstract

This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional integral operators. Furthermore, using special means, q-digamma functions and modified Bessel functions, some applications of the acquired results were obtained.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/3/215/pdf

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