Bounded Quasi-Interpolatory Polynomial Operators

H. N. Mhaskar; J. Prestin

doi:10.1006/jath.1998.3220

Bounded Quasi-Interpolatory Polynomial Operators

H. N. Mhaskar^*, J. Prestin

^*Corresponding author for this work

Institute of Mathematics

California State University Los Angeles

8 Citations (Scopus)

Abstract

We construct bounded polynomial operators, similar to the classical de la Vallée Poussin operators in the theory of Fourier series, which preserve polynomials of a certain degree, but are defined in terms of the values of the function rather than its Fourier coefficients.

Original language	English
Journal	Journal of Approximation Theory
Volume	96
Issue number	1
Pages (from-to)	67-85
Number of pages	19
ISSN	0021-9045
DOIs	https://doi.org/10.1006/jath.1998.3220
Publication status	Published - 01.01.1999

Access to Document

10.1006/jath.1998.3220

Cite this

@article{cc80d41a96954f75b914085c1f3d9274,

title = "Bounded Quasi-Interpolatory Polynomial Operators",

abstract = "We construct bounded polynomial operators, similar to the classical de la Vall{\'e}e Poussin operators in the theory of Fourier series, which preserve polynomials of a certain degree, but are defined in terms of the values of the function rather than its Fourier coefficients.",

author = "Mhaskar, {H. N.} and J. Prestin",

year = "1999",

month = jan,

day = "1",

doi = "10.1006/jath.1998.3220",

language = "English",

volume = "96",

pages = "67--85",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

number = "1",

}

TY - JOUR

T1 - Bounded Quasi-Interpolatory Polynomial Operators

AU - Mhaskar, H. N.

AU - Prestin, J.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - We construct bounded polynomial operators, similar to the classical de la Vallée Poussin operators in the theory of Fourier series, which preserve polynomials of a certain degree, but are defined in terms of the values of the function rather than its Fourier coefficients.

AB - We construct bounded polynomial operators, similar to the classical de la Vallée Poussin operators in the theory of Fourier series, which preserve polynomials of a certain degree, but are defined in terms of the values of the function rather than its Fourier coefficients.

UR - http://www.scopus.com/inward/record.url?scp=0042205641&partnerID=8YFLogxK

U2 - 10.1006/jath.1998.3220

DO - 10.1006/jath.1998.3220

M3 - Journal articles

AN - SCOPUS:0042205641

SN - 0021-9045

VL - 96

SP - 67

EP - 85

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 1

ER -

Bounded Quasi-Interpolatory Polynomial Operators

Abstract

Access to Document

Other files and links

Fingerprint

Cite this