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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Abstract 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.
AbstractList 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.
Author Bosch, Paul
Sigarreta, José M.
Carmenate, Héctor J.
Rodríguez, José M.
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CitedBy_id crossref_primary_10_1515_math_2022_0061
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10.1007/978-94-017-2519-4
10.1186/s13662-021-03351-7
10.1007/978-3-7091-2664-6
10.3390/math7090830
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Facultad de Ingeniería, Universidad del Desarrollo, Ave. La Plaza 680, San Carlos de Apoquindo, Las Condes, Santiago 7550000, Chile
Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, Madrid 28911, España
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SubjectTerms fractional derivatives and integrals
hermite-hadamard-fejér inequality
ostrowski inequality
székely-clark-entringer inequality
Title Generalized inequalities involving fractional operators of the Riemann-Liouville type
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