On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators

BUDAK, HÜSEYİN

doi:10.11121/ijocta.01.2019.00585

On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators

BUDAK H.

International Journal of Optimization and Control: Theories and Applications, cilt.9, sa.1, ss.41-48, 2019 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 9 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.11121/ijocta.01.2019.00585
Dergi Adı: International Journal of Optimization and Control: Theories and Applications
Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.41-48
Anahtar Kelimeler: Convex function, Fractional integral operators, Hermite-Hadamard inequality
Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we first establish weighted versions of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators utilizing weighted function. Then we obtain some refinements of these inequalities. The results obtained in this study would provide generalization of inequalities proved in earlier works.