Generalized inequalities involving fractional operators of the Riemann-Liouville type

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...

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Published inAIMS mathematics Vol. 7; no. 1; pp. 1470 - 1485
Main Authors Bosch, Paul, Carmenate, Héctor J., Rodríguez, José M., Sigarreta, José M.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
fractional derivatives and integrals
hermite-hadamard-fejér inequality
ostrowski inequality
székely-clark-entringer inequality
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022087