Hadamard type inequalities for m-convex and (α, m)-convex functions

Bakula M. K., ÖZDEMİR M. E., Pečarić J.

Journal of Inequalities in Pure and Applied Mathematics, cilt.9, sa.4, 2008 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 4
  • Basım Tarihi: 2008
  • Dergi Adı: Journal of Inequalities in Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: (α, m)-convex functions, Hadamard's inequalities, M-convex functions
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper we establish several Hadamard type inequalities for differentiable meonvex and (α, m)-convex functions. We also establish Hadamard type inequalities for products of two m-convex or (α, m)-convex functions. Our results generalize some results of B.G. Pachpatte as well as some results of C.E.M. Pearce and J. Pečarić. © 2007 Victoria University All right reserved.