Positive Results and Counterexamples in Comonotone Approximation

Author:

Leviatan D.,Radchenko D. V.,Shevchuk I. A.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Reference12 articles.

1. Babenko, K.I.: On some problems of approximation theory and numerical analysis. Usp. Mat. Nauk SSSR, Ser. Mat. 22, 3–28 (1985)

2. Ditzian, Z., Totik, V.: Moduli of Smoothness. Springer, New York (1987)

3. Dzyadyk, V.K., Shevchuk, I.A.: Theory of Uniform Approximation of Functions by Polynomials. Walter de Gruyter, Berlin (2008)

4. Gilewicz, J., Shevchuk, I.A.: Comonotone approximation. Fundam. Prikl. Mat. 2, 319–363 (1996) (In Russian)

5. Kopotun, K.A.: Uniform estimates of monotone and convex approximation of smooth functions. J. Approx. Theory 80, 76–107 (1995)

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