SOME NEW SIMPSON TYPE INEQUALITIES FOR THE p-CONVEX AND p-CONCAVE FUNCTIONS

Year 2018, Volume: 67 Issue: 2, 252 - 263, 01.08.2018

İmdat İşcan Nihan Kalyoncu Konuk Mahir Kadakal

Abstract

In this paper, we establish some new Simpson type inequalities for
the class of functions whose derivatives in absolute values at certain powers
are p-convex and p-concav

Keywords

Convex function, p-Convex function, Simpson type inequalities

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• Current address : ·IMDAT ·I¸SCAN: Department of Mathematics, Faculty of Arts and Sciences, Giresun University, 28100, Giresun, Turkey.
• E-mail address : [e-mail] ORCID Address:
• Current address : N·IHAN KALYONCU KONUK: Institute of Sciences and Arts, Giresun University-Giresun-Turkey
• E-mail address : [e-mail] ORCID Address:
• Current address : MAH·IR KADAKAL: Department of Mathematics, Faculty of Arts and Sci- ences, Giresun University, 28100, Giresun, Turkey.
• E-mail address : [e-mail] ORCID Address:
• http://orcid.org/0000-0002-0240-918X