Behaviour of exact constants in inequalities of Jackson type
Abstract
Full Text:
PDF (Українська)References
Korneichuk N.P. "Exact constant in Jackson theorem of the best uniform appproximation of continuous periodic functions", Dokl. AN SSSR, 1962; 145: pp. 514-515. (in Russian)
Korneichuk N.P. Extremum problems in approximation theory, Moscow, 1976; 320 p. (in Russian)
Korneichuk N.P. Exact constants in approximation theory, Nauka, Moscow, 1987; 424 p. (in Russian)
Timan A.F. Approximation theory for real-variable functions, Fizmatgiz, Moscow, 1960; 624 p. (in Russian)
Chernykh N.I. "On Jackson inequality in $$$L_2$$$ space", Trudy MIAN SSSR, 1967; 88: pp. 71-74. (in Russian)
Chernykh N.I. "On the best approximation of periodic functions by trigonometrical polynomials in $$$L_2$$$", Matem. zametki, 1967; 2(5): pp. 513-522. (in Russian) doi:10.1007/BF01093942
Gavriliuk V.T. "Approximation of continuous periodic functions by Rogozinskii sums and Fourier sums", Problems of func. approx. theory and its appl., Kyiv, 1976; pp. 46-60. (in Russian)
Korneichuk N.P., Ligun A.A., Doronin V.G. Approximation with constraints, Kyiv, 1982; 250 p. (in Ukrainian)
Babenko V.F. "Non-symmetric approximations in spaces of integrable functions", Ukrainian Math. J., 1982; 34(4); pp. 409-416. (in Russian) doi:10.1007/BF01091584
Babenko V.F. "Non-symmetric extremum problems of approximation theory", Dokl. AN SSSR, 1983; 269(3): pp. 521-524. (in Russian)
Ligun A.A. Special problems of approximation theory, Kyiv, 1990. (in Russian)
Doronin V.G. "On the order of grow of exact constants in inequalities of Jackson type for the best one-sided approximations", Proc. Int. Conf.: Kaluga: Approx. Theory, 1996; pp. 90-91. (in Russian)
Ligun A.A. "Jackson's type inequalities", East J. Approx., 1996; 2(2): pp. 235-244.
Doronin V.G. "On the order of grow of exact constants in inequalities of Jackson type for the best $$$(\alpha, \beta)$$$-approximations", Proc. II Int. School: Fourier series, Kyiv, 1997; pp. 47-48. (in Ukrainian)
Babenko A.G. Direct theorems of approximation theory in $$$L_2$$$ and associated extremal problems for positive defined functions: Diss. for doct.phys.-math.sc., Ekaterinburg, 2004. (in Russian)
DOI: https://doi.org/10.15421/240810
Refbacks
- There are currently no refbacks.
Copyright (c) 2008 V.G. Doronin, A.A. Ligun
This work is licensed under a Creative Commons Attribution 4.0 International License.