|
On the best approximation in the mean of continuous functions by polynomials, which are majorized by a given function
V. A. Kaminskii
Abstract:
We discuss the problem of the best approximation in the mean of functions, which are continuous on a segment, by the polynomials in a differentiable Chebyshev system that do not exceed a given differentiable function. We prove that the extremal polynomial is unique and develop its characteristic properties.
Received: 22.03.1971
Citation:
V. A. Kaminskii, “On the best approximation in the mean of continuous functions by polynomials, which are majorized by a given function”, Mat. Zametki, 11:4 (1972), 365–374; Math. Notes, 11:4 (1972), 226–231
Linking options:
https://www.mathnet.ru/eng/mzm9799 https://www.mathnet.ru/eng/mzm/v11/i4/p365
|
Statistics & downloads: |
Abstract page: | 118 | Full-text PDF : | 48 | First page: | 1 |
|