On new general integral inequalities for s-convex functions

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Iscan I., Set E., ÖZDEMİR M. E.

APPLIED MATHEMATICS AND COMPUTATION, vol.246, pp.306-315, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 246
  • Publication Date: 2014
  • Doi Number: 10.1016/j.amc.2014.08.041
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.306-315
  • Keywords: Convex function, s-Convex function, Simpson's inequality, Hermite-Hadamard's inequality, HADAMARD-TYPE
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved.