Generalized inequalities involving fractional operators of the Riemann-Liouville type

• Published in: AIMS mathematics Vol. 7; no. 1; pp. 1470 - 1485
• Main Authors: Bosch, Paul, Carmenate, Héctor J., Rodríguez, José M., Sigarreta, José M.
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: fractional derivatives and integrals; hermite-hadamard-fejér inequality; ostrowski inequality; székely-clark-entringer inequality

In this paper, we present a general formulation of the well-known fractional drifts of Riemann-Liouville type. We state the main properties of these integral operators. Besides, we study Ostrowski, Székely-Clark-Entringer and Hermite-Hadamard-Fejér inequalities involving these general fractional ope...