Some new general integral inequalities for $P$-functions

İmdat İŞCAN; Erhan SET; M. Emin ÖZDEMİR

doi:10.26637/mjm204/019

Abstract

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are $P$-functions. Some applications to special means of real numbers are also given.

Keywords:

Convex function, Simpson’s inequality, Hermite-Hadamard’s inequality, $P$-function

Mathematics Subject Classification:

26A33, 26D10, 26D15, 41A55

Authors Imprint References Funding Related Articles Downloads

İmdat İŞCAN Department of Mathematics, Faculty of Arts and Sciences, Giresun University, 28100, Giresun, Turkey.
Erhan SET Department of Mathematics, Faculty of Arts and Sciences, Ordu University, 52200, Ordu, Turkey.
M. Emin ÖZDEMİR Atatürk University, K.K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey.

Pages: 510-516
Date Published: 01-10-2014
Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)

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