Approximation of poisson integrals by r-repeated de la vallee poussin sums

Rovenskaі, Olga; Dziuba, Maryna

dc.contributor.author	Rovenskaі, Olga
dc.contributor.author	Dziuba, Maryna
dc.date.accessioned	2026-03-03T07:59:07Z
dc.date.available	2026-03-03T07:59:07Z
dc.date.issued	2024
dc.identifier.citation	Olga Rovenskaі, Maryna Dziuba. Approximation of poisson integrals by r-repeated de la vallee poussin sums // International journal of mathematics and computer research, Volume 12, Issue 10, (2024), 4508–4510.	uk_UA
dc.identifier.issn	DOI: 10.47191/ijmcr/v12i10.08
dc.identifier.uri	http://repository.ukd.edu.ua/xmlui/handle/123456789/2030
dc.description	Olga Rovenskaі, Maryna Dziuba. Approximation of poisson integrals by r-repeated de la vallee poussin sums // International journal of mathematics and computer research, Volume 12, Issue 10, (2024), 4508–4510.	uk_UA
dc.description.abstract	The paper investigates the approximation properties of linear means of Fourier series generated by repeated application of the de la Vallйe Poussin summation method. Asymptotic formulas for the exact upper bounds of deviations of the r-repeated de la Vallйe Poussin means on the classes of Poisson integrals of functions with bounded generalized derivatives are obtained. The derived relations, under certain conditions, represent asymptotically exact equalities.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	International journal of mathematics and computer research	uk_UA
dc.subject	de la Vallee Poussin sums	uk_UA
dc.subject	Poisson integral	uk_UA
dc.subject	asymptotic equalit	uk_UA
dc.title	Approximation of poisson integrals by r-repeated de la vallee poussin sums	uk_UA
dc.title.alternative	[Article]	uk_UA
dc.type	Article	uk_UA