4.4 Article

On Polya-Szego and Cebysev type inequalities via generalized k-fractional integrals

Journal

ADVANCES IN DIFFERENCE EQUATIONS
Volume 2020, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1186/s13662-020-02583-3

Keywords

Polya-Szego inequality; Cebysev inequality; Generalized fractional integral

Funding

  1. Natural Science Foundation of China [61673169, 11301127, 11701176, 11626101, 11601485]

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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.

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