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
收藏
页码：1351 / 1361
页数：11
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