On new general integral inequalities for s-convex functions

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Iscan I., Set E., ÖZDEMİR M. E.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 246
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.08.041
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.306-315
  • Anahtar Kelimeler: Convex function, s-Convex function, Simpson's inequality, Hermite-Hadamard's inequality, HADAMARD-TYPE
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.