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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 2, Pages 268–271
(Mi jmag290)
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Two problems concerning uniform polynomial approximation of continuous functions
Mikhail I. Kadets Department of Mathematics, Kharkov State Academy of Municipal Economy, 12 Revolution Str., Kharkov, 61002, Ukraine
Abstract:
We remind two theorems closely connected with the fundamental P. L. Chebyshev's theorem on the best approximation of functions by polynomials, namely S. N. Bernstein's theorem on reconstruction of a function by its deviations from polynomials, and the author's one on distribution of Chebyshev's alternance points. In connection with this two results two open (in author's opinion) problems are formulated.
Received: 30.11.2001
Citation:
Mikhail I. Kadets, “Two problems concerning uniform polynomial approximation of continuous functions”, Mat. Fiz. Anal. Geom., 9:2 (2002), 268–271
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https://www.mathnet.ru/eng/jmag290 https://www.mathnet.ru/eng/jmag/v9/i2/p268
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Abstract page: | 187 | Full-text PDF : | 81 |
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