Approximation by complex genuine Durrmeyer type polynomials in compact disks

In this paper, the order of simultaneous approximation and Voronovskaja kind results with quantitative estimate for the complex genuine Durrmeyer polynomials attached to analytic functions on compact disks are obtained. In this way, we put in evidence the overconvergence phenomenon for the genuine D...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2010-11, Vol.217 (5), p.1913-1920
Main Author: Gal, Sorin G.
Format: Article
Language:English
Subjects:
30E10
41A25
Analytic functions
Approximation
Compact disks
Complex genuine Durrmeyer polynomials
Estimates
Exact sciences and technology
Functions of a complex variable
Intervals
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Planes
Sciences and techniques of general use
Simultaneous approximation
Voronovskaja-type result
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, the order of simultaneous approximation and Voronovskaja kind results with quantitative estimate for the complex genuine Durrmeyer polynomials attached to analytic functions on compact disks are obtained. In this way, we put in evidence the overconvergence phenomenon for the genuine Durrmeyer polynomials, namely the extensions of the approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.06.046