General inequalities related Hermite-Hadamard inequality for generalized fractional integrals

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Atıf İçin Kopyala

Kavurmac-Onalan H., SET E., Gozpinar A.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, cilt.64, sa.4, ss.453-465, 2019 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 64 Sayı: 4
• Basım Tarihi: 2019
• Doi Numarası: 10.24193/subbmath.2019.4.01
• Dergi Adı: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.453-465
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this article, we first establish a new general integral identity for differentiable functions with the help of generalized fractional integral operators introduced by Raina [8] and Agarwal et al. [1]. As a second, by using this identity we obtain some new fractional Hermite-Hadamard type inequalities for functions whose absolute values of first derivatives are convex. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.