New inequalities of Hermite-Hadamard type via s-convex functions in the second sense with applications

Avci, Merve; Kavurmaci, Havva; ÖZDEMİR, MUHAMET

doi:10.1016/j.amc.2010.11.047

New inequalities of Hermite-Hadamard type via s-convex functions in the second sense with applications

Avci M., Kavurmaci H., ÖZDEMİR M. E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.217, sa.12, ss.5171-5176, 2011 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Derleme
Cilt numarası: 217 Sayı: 12
Basım Tarihi: 2011
Doi Numarası: 10.1016/j.amc.2010.11.047
Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.5171-5176
Anahtar Kelimeler: Hermite-Hadamard inequality, s-Convex function, Holder inequality, Power-mean inequality, Special means
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish some new inequalities of Hermite-Hadamard type whose derivatives in absolute value are s-convex in the second sense. Finally some applications to special means of positive real numbers are given. (C) 2010 Elsevier Inc. All rights reserved.