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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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