New extensions of Chebyshev-Polya-Szego type inequalities via conformable integrals

被引：7

作者：

Deniz, Erhan ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Yuksel, Ebru ^{[2
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkey

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

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 02期

关键词：

Chebyshev inequality; Polya-Szego type inequalities; conformable fractional integrals; EQUATIONS; MODEL;

D O I：

10.3934/math.2020066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, several papers related to integral inequalities involving various fractional integral operators have been presented. In this work, motivated essentially by the previous works, we prove some new Polya-Szego inequalities via conformable fractional integral operator and use them to prove some new fractional Chebyshev type inequalities concerning the integral of the product of two functions and the product of two integrals which are improvement of the results in the paper [Ntouyas, S.K., Agarwal, P. and Tariboon, J., On Polya-Szego and Chebyshev type inequalities involving the Riemann-Liouville fractional integral operators, J. Math. Inequal (see [9])].

引用

页码：956 / 965

页数：10

共 24 条

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