New integral inequalities for Atangana–Baleanu fractional integrals via (h, m)-convex functions
in: Fixed Point Theory and Functional Analysis: Metric Spaces, Banach Spaces, Hilbert Spaces, Walter De Gruyter Gmbh, pp.263-282, 2026
- Publication Type: Book Chapter / Chapter Research Book
- Publication Date: 2026
- Doi Number: 10.1515/9783112215760-014
- Publisher: Walter De Gruyter Gmbh
- Page Numbers: pp.263-282
- Keywords: (h, m)-convex modified functions, Atangana–Baleanu integral, Caputo–Fabrizio fractional integral, Convexity, Hermite–Hadamard inequality, Hölder inequality
- Bursa Uludag University Affiliated: Yes
Abstract
In this article, some integral inequalities of the Hermite–Hadamard type are obtained for functions with second derivative in the class of functions modified (h, m)convex of the second type, via integrals of the Atangana–Baleanu type. Throughout the manuscript, we show that several results known from the literature are particular cases of ours.