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Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator
Gauhar Rahman1, Muhammad Samraiz2, Kamal Shah3
1Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan.
Abstract:
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using this identity, we then apply Jensen integral inequality, Young's inequality, power-mean inequality, and Hölder inequality to prove several new generalizations of Ostrowski type inequality for the convexity of . From the primary findings, we also deduced a few new special cases. The results of this investigation are expected to indicate new advances in the study of fractional integral inequalities.
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