Some New Generalizations for GA - Convex Functions

AKDEMİR A. O., Ozdemir M. E., ARDIÇ M. A., Yalcin A.

FILOMAT, cilt.31, sa.4, ss.1009-1016, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1704009a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1009-1016
  • Anahtar Kelimeler: GA-convex functions, Logarithmic Mean, Holder inequality, Power-mean inequality
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, firstly we prove an integral identity that one can derive several new equalities for special selections of n from this identity : Secondly, we established more general integral inequalities for functions whose second derivatives of absolute values are GA-convex functions based on this equality.