INEQUALITIES OF CHEBYSHEV-POLYA-SZEGO TYPE VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATORS

被引：4

作者：

Butt, Saad Ihsan ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Ekinci, Alper ^{[3
]}

Nadeem, Muhammad ^{[1
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[2] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, Agri, Turkey

[3] Bandirma Onyedi Eylul Univ, Dept Foreign Trade, Bandirma Vocat High Sch, Balikesir, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 02期

关键词：

Chebyshev inequality; Polya-Szego type inequalities; GPF Polya-Szego operator; DERIVATIVES; EQUATIONS;

D O I：

10.18514/MMN.2020.3363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：717 / 732

页数：16

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