Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2
(a; m1; m2)-CONVEXITY AND SOME INEQUALITIES OF HERMITE-HADAMARD TYPE
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 2128–2142
- DOI
- —
Abstract
In this paper, we introduce a new class of extended (; m1; m2)-convex functions. Some algebraic properties of these class functions have beeninvestigated. Some new Hermite-Hadamard type inequalities are derived. Results represent signiÖcant reÖnement and improvement of the previous results.Also, the author establish a new integral identity and, by this identity, Hˆlderísand power mean inequality, discover some new Hermite-Hadamard type inequalities for functions whose Örst derivatives are (; m1; m2)-convex. Ourresults are new and coincide with the previous results in special cases.