The Rate of Convergence of Truncated Hypersingular Integrals Generated by the Generalized Poisson Semigroup
| Autor: | S.E. Sinem, E. Melih, Ç. Selim |
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| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Researches in Mathematics, Vol 28, Iss 1, Pp 29-42 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2664-4991 2664-5009 |
| DOI: | 10.15421/242004 |
| Popis: | We introduce a family of Balakrishnan-Rubin type hypersingular integrals depending on a parameter $\varepsilon $ and generated by the Generalized Poisson semigroup. Then the rate of convergence of these families of truncated hypersingular integrals, which converge to $L_{p,\nu }$--function $\varphi $ as $\varepsilon $ tends to $0$, is obtained. |
| Databáze: | Directory of Open Access Journals |
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