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Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators

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2020

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Springer-verlag Italia Srl

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Abstract

In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Gruss-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.

Description

Noor, Muhammad/0000-0001-6105-2435

Keywords

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

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Citation

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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114

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2

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19

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15

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3

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