Approximation of differentiable functions by algebraic polynomials
- 25 Downloads
KeywordsDifferentiable Function Algebraic Polynomial
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 1.S. M. Nikol'skii, “On best approximation by polynomial functions satisfying a Lipschitz condition,” Izv. Akad. Nauk SSSR, Ser. Mat.,10, 295–318 (1946).Google Scholar
- 2.A. F. Timan, “Approximation of functions satisfying a Lipschitz condition by ordinary polynomials,” Dokl. Akad. Nauk SSSR,77, No. 6, 969–972 (1951).Google Scholar
- 3.A. F. Timan, “A strengthening of the Jackson theorem on best approximation of continuous functions by polynomials on a finite segment of the real axis,” Dokl. Akad. Nauk SSSR,78, No. 1, 17–20 (1951).Google Scholar
- 4.N. P. Korneichuk and A. I. Polovina, “On approximation of functions satisfying a Lipschitz condition by algebraic polynomials,” Mat. Zametki,9, No. 4, 441–447 (1971).Google Scholar
- 5.N. P. Korneichuk and A. I. Polovina, “On approximation of continuous functions by algebraic polynomials,” Ukr. Mat. Zh.,24, No. 3, 328–340 (1972).Google Scholar
- 6.N. P. Korneichuk and A. I. Polovina, “On approximation of continuous and differentiable functions by algebraic potynomials on a segment,” Dokl. Akad. Nauk SSSR,166, No. 2, 281–283 (1966).Google Scholar
- 7.N. P. Korneichuk, “On best uniform approximation of continuous functions,” Author's Abstract of Doctoral Dissertation, Kiev (1963).Google Scholar
- 8.N. I. Akhiezer and M. G. Krein, “On best approximation of differentiable periodic functions by trigonometric sums,” Dokl. Akad. Nauk SSSR,15, 107–110 (1937).Google Scholar
- 9.A. F. Timan, Theory of Approximation of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).Google Scholar
- 10.A. V. Efimov, “Linear methods of approximation of continuous periodic functions,” Mat. Sb.,54, No. 1, 51–62 (1961).Google Scholar
© Plenum Publishing Corporation 1979