ON GENERALIZATIONS RELATED TO THE LEFT SIDE OF FEJER'S INEQUALITY VIA FRACTIONAL INTEGRAL OPERATOR

Set E., ÇELİK B.

MISKOLC MATHEMATICAL NOTES, cilt.18, sa.2, ss.1043-1057, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.18514/mmn.2017.2275
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1043-1057
  • Anahtar Kelimeler: Hermite-Hadamard-Fejer inequality, convex function, Holder inequality, fractional integral operator
  • Marmara Üniversitesi Adresli: Hayır

Özet

In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejér’s inequality for differentiable mappings whose derivatives inabsolutevalueareconvexviafractionalintegraloperator,usingthisidentitywithfundamental inequalities such as Hölder’s integral inequality, power-mean inequality and triangle inequality for integral, are presented. The results presented here would provide extensions of those proved in [11].