Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator
Gauhar Rahman,
Muhammad Samraiz,
Kamal Shah,
Thabet Abdeljawad,
Yasser Elmasry
Affiliations
Gauhar Rahman
Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan; Corresponding authors.
Muhammad Samraiz
Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, Pakistan
Kamal Shah
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Thabet Abdeljawad
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India; Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa; Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait; Corresponding authors.
Yasser Elmasry
Department of Mathematics, College of Science - King Khalid University, P.O. Box 9004, Abha 61466, Saudi Arabia
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 |ℵ|. 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.
