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Grüss-type integrals inequalities via generalized proportional fractional operators

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Date

2020

Authors

Rashid, Saima
Jarad, Fahd
Noor, Muhammad Aslam

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Abstract

In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Grüss-type and certain other inequalities by use of generalized proportional fractional integral. Moreover, several special cases are discussed. Also, we derive certain particular results by utilizing the connection between generalized proportional fractional integral and Riemann–Liouville integral. Furthermore, an illustrative example is presented to support our outcomes. © 2020, The Royal Academy of Sciences, Madrid.

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Generalized Proportional Fractional Operator, Grüss-Type Integral Inequality, Young Inequality

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Rashid, Saima; Jarad, Fahd; Noor, Muhammad Aslam (2020). "Grüss-type integrals inequalities via generalized proportional fractional operators", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 114, No. 2.

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

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114

Issue

2

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