Hadamard-type inequalities for s-convex functions

KIRMACI U. S., Bakula M. K., ÖZDEMİR M. E., Pecaric J.

APPLIED MATHEMATICS AND COMPUTATION, cilt.193, sa.1, ss.26-35, 2007 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 193 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.amc.2007.03.030
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.26-35
  • Anahtar Kelimeler: Hadamard's inequality, s-convex functions, convex functions, product of two functions, DIFFERENTIABLE MAPPINGS, QUADRATURE-RULES, THEOREM
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper we establish some new inequalities for differentiable functions based on concavity and s-convexity. We also prove several Hadamard-type inequalities for products of two convex and s-convex functions. (C) 2007 Elsevier Inc. All rights reserved.