Approximative properties of the summation methods of Fourier integrals
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2623-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2623-y | ||
| 245 | 0 | 0 | |a Approximative properties of the summation methods of Fourier integrals |h [Elektronische Daten] |c [Ol'ga Kotova, Roald Trigub] |
| 520 | 3 | |a We study the order (velocity) of the approximation of functions on the axis by entire functions of exponential type not higher than σ as σ → ∞ (the linear and best approximations). The exact order of approximation of individual functions on ℝ d by the classical summation methods of Fourier integrals (Gauss-Weierstrass, Bochner-Riesz, Marcinkiewicz) and the nonclassical Bernstein-Stechkin method is found. For functions on a torus, similar theorems of approximation by polynomials were obtained previously. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Entire functions of exponential type |2 nationallicence | |
| 690 | 7 | |a Bernstein-Riesz inequality |2 nationallicence | |
| 690 | 7 | |a algebra of absolutely convergent Fourier integrals |2 nationallicence | |
| 690 | 7 | |a summation methods |2 nationallicence | |
| 690 | 7 | |a modulus of smoothness |2 nationallicence | |
| 690 | 7 | |a K -functional |2 nationallicence | |
| 690 | 7 | |a Fourier multiplier |2 nationallicence | |
| 690 | 7 | |a total variation of a measure |2 nationallicence | |
| 700 | 1 | |a Kotova |D Ol'ga |u Donbas National Academy of Building and Architecture, Donetsk, Ukraine |4 aut | |
| 700 | 1 | |a Trigub |D Roald |u Sumy State University, Sumy, Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/5(2015-12-01), 668-683 |x 1072-3374 |q 211:5<668 |1 2015 |2 211 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2623-y |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/s10958-015-2623-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kotova |D Ol'ga |u Donbas National Academy of Building and Architecture, Donetsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Trigub |D Roald |u Sumy State University, Sumy, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/5(2015-12-01), 668-683 |x 1072-3374 |q 211:5<668 |1 2015 |2 211 |o 10958 | ||