Some Hermite-Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel

Budak, HÜSEYİN; Sarikaya, Mehmet; Usia, Fuat; Yildirim, Huseyin

doi:10.12697/acutm.2019.23.03

Some Hermite-Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel

Budak H., Sarikaya M. Z., Usia F., Yildirim H.

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, sa.1, ss.25-36, 2019 (ESCI)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2019
Doi Numarası: 10.12697/acutm.2019.23.03
Dergi Adı: ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.25-36
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Kocaeli Üniversitesi Adresli: Hayır

Özet

We firstly establish Hermite-Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Holder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel.