On Generalization of Fejer Type Inequalities via Fractional Integral Operators


Set E., Akdemir A. O., ÇELİK B.

FILOMAT, cilt.32, sa.16, ss.5537-5547, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 16
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1816537s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5537-5547
  • Anahtar Kelimeler: Hermite-Hadamard-Fejer inequality, convex function, Holder inequality, fractional integral operator
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper we first prove a new lemma for differentiable mapping via a fractional integral operator. Then, using lemma, we establish some new Hermite-Hadamard-Fejer type results for convex functions via fractional integral operators. The results presented here would provide extensions of those given in earlier works.