New generalization of Hermite-Hadamard type inequalities via generalized fractional integrals

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

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, cilt.47, sa.2, ss.369-386, 2020 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 47 Sayı: 2
• Basım Tarihi: 2020
• Dergi Adı: ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Sayfa Sayıları: ss.369-386
• Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper we obtain new generalization of Hermite-Hadamard inequalities via generalized fractional integrals defined by Sarikaya and Ertugral. We establish some midpoint and trapezoid type inequalities for functions whose first derivatives in absolute value are convex involving generalized fractional integrals.