Several New Integral Inequalities via k-Riemann--Liouvillefractional Integrals Operators

Butt S., BAYRAKTAR B., Umar M.

Problemy Analiza-Issues of Analysis, cilt.10, ss.3-22, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15393/j3.art.2021.8770
  • Dergi Adı: Problemy Analiza-Issues of Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.3-22
  • Anahtar Kelimeler: eta-quasi-convex, s-Godunova - Levin type, k-Riemann - Liouville fractional integral, Holder inequality, weighted Holder inequality, power mean inequality, HADAMARD-TYPE, (S
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The main objective of this paper is to establish several new integral inequalities including k-Riemann - Liouville fractional integrals for convex, s-Godunova - Levin convex functions, quasi-convex, eta-quasi-convex. In order to obtain our results, we have used classical inequalities as Holder inequality, Power mean inequality and Weighted Holder inequality. We also give some applications.