Several New Integral Inequalities via Caputo k-Fractional Derivative Operators

Butt, Saad; Ozdemir, MUHAMET; Umar, Muhammad; Celik, Baris

doi:10.1142/s1793557121501503

Several New Integral Inequalities via Caputo k-Fractional Derivative Operators

Butt S. I., Ozdemir M. E., Umar M., Celik B.

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

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
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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