New generalization of midpoint type inequalities for fractional integral

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BUDAK H., Kapucu R.

Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, cilt.67, sa.1, ss.113-128, 2021 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 67 Sayı: 1
• Basım Tarihi: 2021
• Doi Numarası: 10.47743/anstim.2021.00009
• Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
• Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, zbMATH
• Sayfa Sayıları: ss.113-128
• Anahtar Kelimeler: Concave function, Convex function, Fractional integral operators, Hermite-Hadamard inequality
• Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.