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

Miskolc Mathematical Notes

article

Saad Ihsan Butt¹  Ahmet Ocak Akdemir²  Alper Ekinci³  Muhammad Nadeem¹ 

[1] COMSATS University Islamabad, Lahore Campus;Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Cecen University;Department of Foreign Trade, Bandirma Vocational High School, Bandirma Onyedi Eylul University

关键词: Chebyshev inequality;    Polya-Szego type inequalities;    GPF Polya-Szeg ¨ o operator;   

DOI  :  10.18514/MMN.2020.3363

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

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.

【 授权许可】

CC BY