On some inequalities for s-convex functions and applications

Ozdemir, MUHAMET; YILDIZ, Çetin; Akdemir, Ahmet; Set, Erhan

doi:10.1186/1029-242x-2013-333

On some inequalities for s-convex functions and applications

Ozdemir M. E., YILDIZ Ç., Akdemir A. O., Set E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2013, 2013 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 2013
Basım Tarihi: 2013
Doi Numarası: 10.1186/1029-242x-2013-333
Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Anahtar Kelimeler: Hadamard's inequality, s-convex (concave) function, Holder inequality, power-mean inequality, MAPPINGS
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided.