Inequalities of Chebyshev-P\'olya-Szeg\"o Type via Generalized Proportional Fractional Integral Operators

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

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arXiv · 2006.03990

Inequalities of Chebyshev-P\'olya-Szeg\"o Type via Generalized Proportional Fractional Integral Operators

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

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Abstract

This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the P\'{o}lya-Szeg% \"{o}-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.

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Saad Ihsan Butt, Ahmet Ocak Akdemir, Alper Ekinci, Muhammad Nadeem. 2020-06-06. Inequalities of Chebyshev-P\'olya-Szeg\"o Type via Generalized Proportional Fractional Integral Operators. https://arxiv.org/abs/2006.03990

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