Several New Integral Inequalities via Caputo k-Fractional Derivative Operators

Butt S. I., ÖZDEMİR M. E., Umar M., ÇELİK B.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.14, sa.09, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 09
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s1793557121501503
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Convex function, eta-quasi-convex, s-convex, s-Godunova-Levin type, Caputo k-fractional integral, Hermite-Hadamard inequality, Holder inequality, weighted Holder inequality, power mean inequality
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, we establish several new integral inequalities involving Caputo k-fractional derivatives for η-quasi-convex and s-Godunova-Levin convex. In order to obtain our results, we use some classical inequalities such as Hölder's inequality and its power mean and weighted versions.