KFU. Card publication. Sharp Estimates for the Polynomial Approximation in Weighted Sobolev Spaces

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FEDERAL UNIVERSITY

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SHARP ESTIMATES FOR THE POLYNOMIAL APPROXIMATION IN WEIGHTED SOBOLEV SPACES

Form of presentation

Articles in international journals and collections

Year of publication

2015

Язык

английский

Authors, employees of KFU

Timerbaev Marat Ravilevich, author

Bibliographic description in the original language

R.Z. Dautov Sharp Estimates for the Polynomial Approximation in Weighted Sobolev Spaces/R.Z. Dautov, M.R. Timerbaev //Differential Equations, 2015, Vol. 51, No. 7, pp. 886–894

Annotation

We obtain sharp estimates for the accuracy of the best approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line in weighted Sobolev spaces with Jacobi, Laguerre, and Hermite weights, respectively. We show that the orthogonal polynomials associated with these weights form orthogonal bases in the respective weighted Sobolev spaces. We obtain sharp estimates of Markov?Bernstein type

Keywords

Sharp Estimate, Polynomial Approximation, Weighted Sobolev Space, Markov?Bernstein type enequality

The name of the journal

Differential Equations

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=111462&p_lang=2

Resource files

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Sharp_Estimates_for_the_Polynomial_Approximation_in_Weighted_Sobolev__DU_2015.pdf	0,30	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Timerbaev Marat Ravilevich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	R.Z. Dautov Sharp Estimates for the Polynomial Approximation in Weighted Sobolev Spaces/R.Z. Dautov, M.R. Timerbaev //Differential Equations, 2015, Vol. 51, No. 7, pp. 886–894	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=111462&p_lang=2	ru_RU
dc.description.abstract	Differential Equations	ru_RU
dc.description.abstract	We obtain sharp estimates for the accuracy of the best approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line in weighted Sobolev spaces with Jacobi, Laguerre, and Hermite weights, respectively. We show that the orthogonal polynomials associated with these weights form orthogonal bases in the respective weighted Sobolev spaces. We obtain sharp estimates of Markov?Bernstein type	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Sharp Estimate	ru_RU
dc.subject	Polynomial Approximation	ru_RU
dc.subject	Weighted Sobolev Space	ru_RU
dc.subject	Markov?Bernstein type enequality	ru_RU
dc.title	Sharp Estimates for the Polynomial Approximation in Weighted Sobolev Spaces	ru_RU
dc.type	Articles in international journals and collections	ru_RU