Direct Estimates of the Weighted Simultaneous Approximation by the Baskakov Operator

Direct Estimates of the Weighted Simultaneous Approximation by the Baskakov Operator

We establish direct estimates of the rate of weighted simultaneous approximation by the Baskakov operator for smooth functions in the supremum norm on the non-negative semi-axis. We consider Jacobi-type weights. The estimates are stated in terms of appropriate moduli of smoothness or K -functionals.

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Veröffentlicht in:Resultate der Mathematik 2020-12, Vol.75 (4), Article 156
1. Verfasser: Draganov, Borislav R.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We establish direct estimates of the rate of weighted simultaneous approximation by the Baskakov operator for smooth functions in the supremum norm on the non-negative semi-axis. We consider Jacobi-type weights. The estimates are stated in terms of appropriate moduli of smoothness or K -functionals.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-020-01285-2