| Title | Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | Draganov B |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 105 |
| Start Page | 55 |
| Pagination | 55-73 |
| ISSN | 1313-9215 (Print), ISSN 2603-5529 (Online) |
| Keywords | Bernstein-Durrmeyer operator, K-functional, multipliers, orthogonal expansion, strong converse inequality |
| Abstract | It is demonstrated that multiplier methods naturally yield better constants in strong converse inequalities for the Bernstein-Durrmeyer operator. The absolute constants obtained in some of the inequalities are independent of the weight and the dimension. The estimates are stated in terms of the K-functional that is naturally associated to the operator. |
| DOI | 10.60063/GSU.FMI.105.55-73 |
| 2000 MSC | main 41A27, secondary 41A10, 41A25, 41A35, 41A36, 41A63, 42B15 |
| Attachment | Size |
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 105-055-073.pdf | 346.77 KB |