Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers

ЗаглавиеStrong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers
Вид публикацияJournal Article
Година на публикуване2018
АвториDraganov B
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том105
Start Page55
Pagination55-73
ISSN1313-9215 (Print), ISSN 2603-5529 (Online)
ключови думиBernstein-Durrmeyer operator, K-functional, multipliers, orthogonal expansion, strong converse inequality
Резюме

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.

DOI10.60063/GSU.FMI.105.55-73
2000 MSC

main 41A27, secondary 41A10, 41A25, 41A35, 41A36, 41A63, 42B15

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