Interpolatory estimates for convex piecewise polynomial approximation

Author:

Kopotun K.A.,Leviatan D.,Shevchuk I.A.

Funder

NSERC

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference10 articles.

1. Interpolatory pointwise estimates for polynomial approximations;Gonska;Constr. Approx.,2000

2. Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials;Kopotun;Constr. Approx.,1994

3. Simultaneous approximation by algebraic polynomials;Kopotun;Constr. Approx.,1996

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

5. Interpolatory pointwise estimates for monotone polynomial approximation;Kopotun;J. Math. Anal. Appl.,2018

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1. Shape preserving approximation using convex smooth piecewise polynomials for functions in L-p quasi normed spaces;INT J NONLINEAR ANAL;2022

2. Exact order of pointwise estimates for polynomial approximation with Hermite interpolation;Journal of Approximation Theory;2021-04

3. Interpolatory pointwise estimates for convex polynomial approximation;Acta Mathematica Hungarica;2020-06-30

4. INTERPOLATORY ESTIMATES IN MONOTONЕ PIECEWISE–POLYNOMIAL APPROXIMATION;BULLETIN TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV. Mathematics. Mechanics;2019

5. One counterexample for convex approximation of function with fractional derivatives, r>4;Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics;2018

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