Hermite-Hadamard-type inequalities via (alpha, m)-convexity

ÖZDEMİR M. E., Avci M., Kavurmaci H.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.61, sa.9, ss.2614-2620, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 9
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2011.02.053
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2614-2620
  • Anahtar Kelimeler: (alpha, m)-convex functions, Convexity, Hermite-Hadamard inequality, Holder's integral inequality, Power-mean integral inequality, Euler-beta function, Gamma function
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish several new inequalities for functions whose second derivative in absolute value aroused to the qth (q >= 1) power are (alpha, m)-convex. Some applications to special means of positive real numbers are also given. (C) 2011 Elsevier Ltd. All rights reserved.