Near-best approximation by a de la Vallée Poussin-type interpolatory operator

Author:

Horváth Ágota1

Affiliation:

1. 1 Budapest University of Technology and Economics Department of Analysis H-1521 Budapest Hungary

Abstract

We give a very simply computable interpolatory process, which approximates in near-best order on [−1; 1] in some Jacobi-weighted space.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference13 articles.

1. Approximation of continuous, periodic functions by discrete positive linear operators;Bojanic R.;J. of Approximation Theory,1974

2. Interpolációs polinomokkal való approximációról;Freud G.;Mat. Lapok,1967

3. Some good sequences of interpolatory polynomials;Freud G.;Canad. J. Math.,1974

4. On some de la Vallée Poussin type discrete linear operators;Kis O.;Acta Math. Hung.,1986

5. Mhaskar-Prestin operators for Freud weights;Mashele H. P.;East J. on Approx.,2002

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. WeightedL1approximation on[−1,1]via discrete de la Vallée Poussin means;Mathematics and Computers in Simulation;2018-05

2. ON THE MINIMAL PROPERTY OF DE LA VALLÉE POUSSIN’S OPERATOR;Bulletin of the Australian Mathematical Society;2014-10-08

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