On Refinements of Hermite-Hadamard-Fejer Type Inequalities for Fractional Integral Operators

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Ertugral F., Sarikaya M. Z., Budak H.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, sa.1, ss.426-442, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2018
• Dergi Adı: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.426-442
• Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, utilizing convex functions, we first establish new refinements of Hermite-Hadamard-Fejer type inequalities via Riemann-Liouville fractional integral operators. A generalized refinements of Hermite-Hadamard-Fejer type inequalities for fractional integral operators with exponential kernel is also obtained. The results given in this paper would provide extensions of those presented in earlier studies.