Approximations of the classes MB p , θ r of periodic functions of several variables by polynomials according to the Haar system

Verfasser / Beitragende:
[Sergei Stasyuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 210/1(2015-10-01), 76-85
Format:
Artikel (online)
ID: 605523517
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024 7 0 |a 10.1007/s10958-015-2549-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2549-4 
100 1 |a Stasyuk  |D Sergei  |u Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., 01601, Kiev, Ukraine  |4 aut 
245 1 0 |a Approximations of the classes MB p , θ r of periodic functions of several variables by polynomials according to the Haar system  |h [Elektronische Daten]  |c [Sergei Stasyuk] 
520 3 |a Some problems of approximation of the classes MB p,θ r of periodic functions of several variables by polynomials constructed by the Haar system are investigated. For the functions of these classes, the exact-order estimates of the best m-term approximation by polynomials according to the Haar system and the upper bounds of approximations by step-hyperbolic Fourier-Haar sums are obtained. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Approximation of functions of several variables  |2 nationallicence 
690 7 |a Haar system  |2 nationallicence 
690 7 |a step-hyperbolic cross  |2 nationallicence 
690 7 |a best m -term approximation  |2 nationallicence 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/1(2015-10-01), 76-85  |x 1072-3374  |q 210:1<76  |1 2015  |2 210  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2549-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2549-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Stasyuk  |D Sergei  |u Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., 01601, Kiev, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/1(2015-10-01), 76-85  |x 1072-3374  |q 210:1<76  |1 2015  |2 210  |o 10958