Open AccessSome integral inequalities for approximately h—convex functions and their applications
Author(s) -
Artion Kashuri,
Muhammad Raees,
Mustafa Anwar
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2021-02-0028
Subject(s) - convex function , mathematics , hadamard transform , regular polygon , pure mathematics , inequality , proper convex function , function (biology) , convex analysis , mathematical analysis , convex optimization , geometry , evolutionary biology , biology
In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder—Íşcan integral inequality three inequalities of Hermite—Hadamard and Hadamard integral type for (h, d)—convex functions have been established. Various special cases including classes for instance, h—convex, s—convex function of Breckner and Godunova—Levin—Dragomir and strong versions of the aforementioned types of convex functions have been identified. Some applications to error estimations of presented results have been analyzed. At the end, a briefly conclusion is given.