Manna Atanu: New Hardy-type integral inequalities. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 467-491. (2020)
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Abstract
The proofs of generalized Hardy, Copson, Bennett, Leindler-type, and Levinson integral inequalities are revisited. It is contemplated to establish new proof of these classical inequalities using probability density function. New integral inequalities of Hardy-type involving the r th order Generalized Riemann–Liouville, Generalized Weyl, Erdélyi–Kober, (k, ν)-Riemann–Liouville, and (k, ν)-Weyl fractional integrals are established through a probabilistic approach. The Kullback–Leibler inequality has been applied to compute the best possible constant factor associated with each of these inequalities.
| Item Type: | Article |
|---|---|
| Heading title: | Analysis |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2020 |
| Volume: | 86 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 467-491 |
| Language: | English |
| Related URLs: | http://acta.bibl.u-szeged.hu/73790/ |
| DOI: | 10.14232/actasm-019-750-7 |
| Uncontrolled Keywords: | Matematika, Integrálegyenlőtlenség |
| Additional Information: | Bibliogr.: p. 490-491. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 15. 13:30 |
| Last Modified: | 2021. Nov. 15. 13:30 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73899 |
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