On Quality of Approximation by Families of Generalized Sampling Series.

dc.contributor.author	Burinska, Z.
dc.contributor.author	Runovski, K.
dc.contributor.author	Schmeisser, HJ.
dc.contributor.author	Бурінська, З.
dc.date.accessioned	2026-11-06T10:42:11Z
dc.date.issued	2009
dc.description.abstract	The quality of approximation by families of generalized sampling series in the scale of the Lp(Rd)-spaces with 0 < p ≤ +∞ is studied in terms of realizations of generalized K-functionals related to operators of multiplier type generated by homogeneous functions. The results are formulated in terms of generators of the method and of smoothness. The applications of the general scheme to methods generated by classical kernels as well as some new constructions to describe the smoothness of odd orders in terms of approximation are given. © 2009 SAMPLING PUBLISHING.
dc.identifier.citation	Burinska Z., Runovski K. Schmeisser HJ. On Quality of Approximation by Families of Generalized Sampling Series. STSIP. 2009. No. 8. Pp. 105–126. https://doi.org/10.1007/BF03549511
dc.identifier.issn	1530-6429
dc.identifier.uri	https://dspace.krok.edu.ua/handle/krok/12747
dc.language.iso	en
dc.publisher	SAMPLING PUBLISHING
dc.subject	Bochner-Riesz kernels
dc.subject	Classical derivatives
dc.subject	Convolution integrals
dc.title	On Quality of Approximation by Families of Generalized Sampling Series.
dc.title.alternative	Про якість апроксимації сімействами узагальнених вибіркових рядів
dc.type	Article

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