| Title | A characterisation of the rate of approximation of the Baskakov-Kantorovich operator |
| Publication Type | Journal Article |
| Year of Publication | 2025 |
| Authors | Draganov B |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 112 |
| Start Page | 17 |
| Pagination | 17-29 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | $K$-functional, Baskakov-Kantorovich operator, modulus of smoothness |
| Abstract | We characterise the $K$-functional that was previously shown to describe the rate of approximation of the Baskakov-Kantorovich operator in the $L_p$-spaces with the weight $(1+x)^\gamma$ with $\gamma\le 0$. The characterisation uses the Ditzian-Totik moduli of smoothness. |
| DOI | 10.60063/GSU.FMI.112.17-29 |
| Attachment | Size |
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 112-017-029.pdf | 531.81 KB |