Fractional Milne-type inequalities for twice differentiable functions-Reference-Cited by-同舟云学术

Fractional Milne-type inequalities for twice differentiable functions

Published:2024 Issue:7 Volume:9 Page:19771-19785
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Almoneef Areej A.¹,Hyder Abd-Allah²,Budak Hüseyin³,Barakat Mohamed A.⁴

Affiliation:

1. Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

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

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

4. Department of Basic Science, University college of Alwajh, University of Tabuk, Saudi Arabia

Abstract

<abstract><p>In this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for functions whose second derivatives inside the absolute value are convex. Additionally, an example and a graphical representation are included to clarify the core findings of our research.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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