Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities
Konuralp Journal of Mathematics, cilt.8, sa.1, ss.197-206, 2020 (Scopus)
- 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.