Enhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalities-Reference-Cited by-同舟云学术

Enhanced bounds for Riemann-Liouville fractional integrals: Novel variations of Milne inequalities

Published:2023 Issue:12 Volume:8 Page:30760-30776
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Budak Hüseyin¹,Hyder Abd-Allah²

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce 81620, Turkey

2. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Abstract

<abstract><p>In this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions, Lipschitzian functions and functions of bounded variation. To accomplish our objective, we begin by establishing a crucial identity for differentiable functions. Leveraging this identity, we subsequently derive new variations of fractional Milne inequalities.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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