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Refinements of Ostrowski Type Integral Inequalities Involving Atangana–Baleanu Fractional Integral Operator

Authors :
Ahmed E. Abouelregal
Sameh S. Askar
Khaled Mohamed Khedher
Hijaz Ahmad
Soubhagya Kumar Sahoo
Muhammad Tariq
Source :
Symmetry, Volume 13, Issue 11, Symmetry, Vol 13, Iss 2059, p 2059 (2021)
Publication Year :
2021
Publisher :
Multidisciplinary Digital Publishing Institute, 2021.

Abstract

In this article, first, we deduce an equality involving the Atangana–Baleanu (AB)-fractional integral operator. Next, employing this equality, we present some novel generalization of Ostrowski type inequality using the Hölder inequality, the power-mean inequality, Young’s inequality, and the Jensen integral inequality for the convexity of |Υ|. We also deduced some new special cases from the main results. There exists a solid connection between fractional operators and convexity because of their fascinating properties in the mathematical sciences. Scientific inequalities of this nature and, particularly, the methods included have applications in different fields in which symmetry plays a notable role. It is assumed that the results presented in this article will show new directions in the field of fractional calculus.

Details

Language :
English
ISSN :
20738994
Database :
OpenAIRE
Journal :
Symmetry
Accession number :
edsair.doi.dedup.....576ebd4edeba96cc061c57b0c3ed1264
Full Text :
https://doi.org/10.3390/sym13112059