Approximation characteristics of the spaces Sφp in different metrics

Ukrainian Mathematical Journal

Volumn 53, Issue 8, 2001, Pages 1340-1374

  Stepanets, A I ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746187410     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1023/A:1013307912783     Document Type: Article

References (8)

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3. A. I. Stepanets, "Mean square rate of convergence of orthogonal series," Ukr. Mat. Zh., 39, No. 5, 606-611 (1987).
4. A. I. Stepanets, Classification and Approximation of Periodic Functions [in Russian], Naukova Dumka, Kiev (1987).
5. A. N. Kolmogorov, "Über die beste Annäherung von Funktionen einer gegebenen Funktionenklass," Ann. Math., 37, No. 1, 107-110 (1936).
6. V. M. Tikhomirov, Some Problems in Approximation Theory [in Russian], Moscow University, Moscow (1976).
7. K. I. Babenko, "On the approximation of periodic functions of many variables by trigonometric polynomials," Dokl. Akad. Nauk SSSR, 132, No. 2, 247-250 (1960).
8. K. I. Babenko, "On the approximation of one class of periodic functions of many variables by trigonometric polynomials," Dokl. Akad. Nauk SSSR, 132, No. 5, 982-985 (1960).