GENERALIZING HARDY TYPE INEQUALITIES VIA k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATORS INVOLVING TWO ORDERS

被引:2
作者
Benaissa, Bouharket [1 ]
机构
[1] Univ Tiaret, Fac Mat Sci, Lab Informat & Math, Tiaret, Algeria
来源
HONAM MATHEMATICAL JOURNAL | 2022年 / 44卷 / 02期
关键词
Hardy type inequality; k-Riemann-Liouville operator; Fubini Theorem;
D O I
10.5831/HMJ.2022.44.2.271
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, We have applied the right operator k-Riemann-Liouville is involving two orders alpha and beta with a positive parameter p > 0, further, the left operator k-Riemann-Liouville is used with the negative parameter p < 0 to introduce a new version related to Hardy-type inequalities. These inequalities are given and reversed for the cases 0 < p < 1 and p < 0. We then improved and generalized various consequences in the framework of Hardy-type fractional integral inequalities.
引用
收藏
页码:271 / 280
页数:10
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