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On Ostrowski-Mercer's Type Fractional Inequalities for Convex Functions and Applications
Journal article   Open access  Peer reviewed

On Ostrowski-Mercer's Type Fractional Inequalities for Convex Functions and Applications

Soubhagya Kumar Sahoo, Artion Kashuri, Munirah Aljuaid, Soumyarani Mishra and Manuel De La Sen
Fractal and fractional, Vol.7(3), p.215
01/03/2023
DOI: https://doi.org/10.3390/fractalfract7030215

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
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.
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https://doi.org/10.3390/fractalfract7030215View
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