NEW CHEBYSHEV-TYPE INEQUALITIES FOR THE GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL WITH RESPECT TO AN INCREASING FUNCTION

被引：1

作者：

Varosanec, Sanja ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Fac Sci, Zagreb, Croatia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 04期

关键词：

Generalized Riemann-Liouville fractional integral; Chebyshev-type inequality; log-convexity;

D O I：

10.7153/jmi-2023-17-88

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain several results for the generalized Riemann-Liouville fractional integrals whose orders are variable. We prove Chebyshev-type inequalities and consider the log -convexity of a function whose variable is the order of the generalized Riemann-Liouville fractional integral. Obtained results are applied to some special kinds of fractional integrals.

引用

页码：1351 / 1361

页数：11

共 3 条

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