Negative results in coconvex approximation of periodic functions

Author:

Dzyubenko German,Voloshyna Victoria,Yushchenko Lyudmyla

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference10 articles.

1. Contrexample in comonotone approximation of periodic functions;Dzyubenko;Trans. Inst. Math. NAS Ukraine,2008

2. Comonotone approximation of twice differentiable periodic functions;Dzyubenko;Ukrainian Math. J.,2009

3. Piecewise monotone pointwise approximation;Dzyubenko;Constr. approx.,1998

4. Uniform and pointwise shape preserving approximation by algebraic polynomials;Kopotun;Surv. Approx. Theory,2011

5. No Jackson-type estimates for piecewise q-monotone, q≥3, trigonometric approximation;Leviatan,2020

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1. Comonotone approximation of periodic functions;Journal of Approximation Theory;2024-05

2. Degree of nearly comonotone approximation of periodic functions;Asian-European Journal of Mathematics;2023-10-04

3. Coconvex Approximation of Periodic Functions;Constructive Approximation;2022-10-27

4. The Order of Comonotone Approximation of Differentiable Periodic Functions;Journal of Mathematical Sciences;2022-02

5. The order of comonotone approximation of differentiable periodic functions;Ukrainian Mathematical Bulletin;2021-11-12

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