MMN-3363

Inequalities of Chebyshev-Pólya-Szegö type via generalized proportional fractional integral operators

Saad Ihsan Butt; Ahmet Ocak Akdemir; Alper Ekinci; Muhammad Nadeem;

Abstract

This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Polya-Szegö-Chebyshev type obtained with the help of Generalized Proportional Fractional integral operators. The results have been performed by using Generalized Proportional Fractional integral operators, some classical inequalities such as AM-GM inequality, Cauchy-Schwarz inequality and Taylor series expansion of exponential function. The findings give new approaches to some types of inequalities that have involving the product of two functions in inequality theory.


Vol. 21 (2020), No. 2, pp. 717-732
DOI: https://doi.org/10.18514/MMN.2020.3363


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