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GENERALIZING HARDY TYPE INEQUALITIES VIA k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATORS INVOLVING TWO ORDERS
Honam mathematical journal, 2022-06, Vol.44 (2), p.271-280
[Peer Reviewed Journal]
ISSN: 1225-293X ;DOI: 10.5831/HMJ.2022.44.2.271
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Title:
GENERALIZING HARDY TYPE INEQUALITIES VIA k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATORS INVOLVING TWO ORDERS
Author:
Benaissa, Bouharket
Is Part Of:
Honam mathematical journal, 2022-06, Vol.44 (2), p.271-280
Description:
In this study, We have applied the right operator k-Riemann- Liouville is involving two orders α and β 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.
Publisher:
호남수학회
Language:
Korean
Identifier:
ISSN: 1225-293X
DOI: 10.5831/HMJ.2022.44.2.271
Source:
ROAD: Directory of Open Access Scholarly Resources
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