AIMS Mathematics (Jan 2022)

Generalized inequalities involving fractional operators of the Riemann-Liouville type

  • Paul Bosch,
  • Héctor J. Carmenate,
  • José M. Rodríguez ,
  • José M. Sigarreta

DOI
https://doi.org/10.3934/math.2022087
Journal volume & issue
Vol. 7, no. 1
pp. 1470 – 1485

Abstract

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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 operators.

Keywords