Work

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

Year: 2020

Type: article

Abstract: This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Pólya-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.

Source: Miskolc mathematical notes/Mathematical notes

DOI: 10.18514/mmn.2020.3363

Authors: Saad Ihsan Butt, Ahmet Ocak Akdemir, Alper Ekinci, Muhammad Nadeem

Institutions: Bandırma Onyedi Eylül University, COMSATS University Islamabad, Lahore Campus

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3033737287

FWCI: 1.443

Cites: 19

Cited by: 6

Related to: 10