Structural characteristics of functions from L 2 and the exact values of widths of some functional classes
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2296-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2296-6 | ||
| 245 | 0 | 0 | |a Structural characteristics of functions from L 2 and the exact values of widths of some functional classes |h [Elektronische Daten] |c [Sergei Vakarchuk, Mirgand Shabozov, Valentina Zabutnaya] |
| 520 | 3 | |a Exact inequalities of the Jackson type are obtained for the averaged characteristic of smoothness of functions that was proposed by K. V. Runovskii. The exact values of some n-widths of classes of differentiable functions defined by the indicated characteristic of smoothness, as well as majorants satisfying the definite conditions, are calculated. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Best polynomial approximation |2 nationallicence | |
| 690 | 7 | |a averaged characteristic of smoothness of a function |2 nationallicence | |
| 690 | 7 | |a Jacksontype inequality |2 nationallicence | |
| 690 | 7 | |a width |2 nationallicence | |
| 690 | 7 | |a majorant |2 nationallicence | |
| 690 | 7 | |a Fourier coefficients |2 nationallicence | |
| 700 | 1 | |a Vakarchuk |D Sergei |u A. Nobel University,, 18, Lenin Qu., Dnepropetrovsk, Ukraine |4 aut | |
| 700 | 1 | |a Shabozov |D Mirgand |u Institute of Mathematics of the AS of the Tajikistan Republic, 299/1, Aini Str., 734063, Dushanbe, Tajikistan |4 aut | |
| 700 | 1 | |a Zabutnaya |D Valentina |u Dnipropetrovsk National University Oles Honchar, Dnepropetrovsk, Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/1(2015-04-01), 97-114 |x 1072-3374 |q 206:1<97 |1 2015 |2 206 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2296-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 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/s10958-015-2296-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Vakarchuk |D Sergei |u A. Nobel University,, 18, Lenin Qu., Dnepropetrovsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shabozov |D Mirgand |u Institute of Mathematics of the AS of the Tajikistan Republic, 299/1, Aini Str., 734063, Dushanbe, Tajikistan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zabutnaya |D Valentina |u Dnipropetrovsk National University Oles Honchar, Dnepropetrovsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/1(2015-04-01), 97-114 |x 1072-3374 |q 206:1<97 |1 2015 |2 206 |o 10958 | ||