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On Polya-Szego and Cebysev Type Inequalities Via Generalized K-Fractional Integrals

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Date

2020

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Volume Title

Publisher

Springer

Open Access Color

GOLD

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No

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Abstract

In this paper, we introduce the generalized k-fractional integral in terms of a new parameter k > 0, present some new important inequalities of Polya-Szego and Cebysev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.

Description

Keywords

Polya-Szego Inequality, Cebysev Inequality, Generalized Fractional Integral, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Fractional Integrals, Differential equation, Čebyšev inequality, QA1-939, FOS: Mathematics, Generalized fractional integral, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, Applied Mathematics, Fractional calculus, Partial differential equation, Applied mathematics, Chemistry, Pólya–Szegö inequality, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Repressor, Transcription factor, Type (biology), Mathematics, Ordinary differential equation, Pólya-Sszegö inequality, Fractional derivatives and integrals, generalized fractional integral, Inequalities involving derivatives and differential and integral operators, Chebyshev inequality, Inequalities for sums, series and integrals

Fields of Science

01 natural sciences, 0101 mathematics

Citation

Rashid, Saima...et al. (2020). "On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals", Advances in Difference Equations, Vol. 2020, No. 1.

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Q1

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OpenCitations Citation Count
27

Source

Advances in Difference Equations

Volume

2020

Issue

1

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CrossRef : 23

Scopus : 65

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Mendeley Readers : 2

SCOPUS™ Citations

65

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Web of Science™ Citations

69

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2

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15.1601

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