Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities

Bezziou M., Dahmani Z., KİRİŞ M. E.

Konuralp Journal of Mathematics, cilt.8, sa.1, ss.197-206, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.197-206
  • Anahtar Kelimeler: (k, h)−Hadamard fractional operator, (k, s, h)−Riemann-Liouville fractional integral, Gruss inequality, Korkine identity
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

This paper deals with some results of fractional inequalities involving two recent recent integral operators: the (k,s,h)−Riemann-Liouville integral and the (k,h)−Hadamard fractional operator. We generalize some classical integral inequalities as well as some other fractional inequalities. By simple arguments, we establish a relation between the two considered operators that allows us to establish several integral results.