On some inequalities of Hermite-Hadamard type via m-convexity

Ozdemir M. E., Avci M., Set E.

APPLIED MATHEMATICS LETTERS, cilt.23, sa.9, ss.1065-1070, 2010 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 9
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.aml.2010.04.037
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1065-1070
  • Anahtar Kelimeler: m-convex functions, Hermite-Hadamard inequalities, Holder inequality, Power-mean inequality, DIFFERENTIABLE MAPPINGS, REAL NUMBERS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper we give some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of second derivatives raised to positive real powers are m-convex. (C) 2010 Elsevier Ltd. All rights reserved.