New generalization of midpoint type inequalities for fractional integral
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: Hayır
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.