Some New Generalizations for GA - Convex Functions

AKDEMİR, AHMET; Ozdemir, MUHAMET; ARDIÇ, MERVE; Yalcin, Abdullatif

doi:10.2298/fil1704009a

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, Scopus)

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.