Some new general integral inequalities for P-functions

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DOI:

https://doi.org/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
  • 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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Published

01-10-2014

How to Cite

İmdat İŞCAN, Erhan SET, and M. Emin ÖZDEMİR. “Some New General Integral Inequalities for P-Functions”. Malaya Journal of Matematik, vol. 2, no. 04, Oct. 2014, pp. 510-6, doi:10.26637/mjm204/019.

Issue

Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)

Section

Articles

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Copyright (c) 2014 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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