Interpolation Mixed with I2-Approximation

M. A. Bokhari

doi:10.1006/jath.1995.1120

Interpolation Mixed with I₂-Approximation

M. A. Bokhari^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

Abstract

We consider sqn roots of unity and define a class R^σ _N*(U_s, f) of rational functions which interpolate a given analytic function f on U_s, a large subset of the roots of unity satisfying a congruence relation. f is then approximated over R^σ _N*(f, U_s) with respect to l(2)-norm on the complement of U_s. We also discuss Walsh type equi convergence.

Original language	English
Pages (from-to)	255-265
Number of pages	11
Journal	Journal of Approximation Theory
Volume	83
Issue number	2
DOIs	https://doi.org/10.1006/jath.1995.1120
State	Published - Nov 1995

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

Access to Document

10.1006/jath.1995.1120

Cite this

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abstract = "We consider sqn roots of unity and define a class Rσ N*(Us, f) of rational functions which interpolate a given analytic function f on Us, a large subset of the roots of unity satisfying a congruence relation. f is then approximated over Rσ N*(f, Us) with respect to l(2)-norm on the complement of Us. We also discuss Walsh type equi convergence.",

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AB - We consider sqn roots of unity and define a class Rσ N*(Us, f) of rational functions which interpolate a given analytic function f on Us, a large subset of the roots of unity satisfying a congruence relation. f is then approximated over Rσ N*(f, Us) with respect to l(2)-norm on the complement of Us. We also discuss Walsh type equi convergence.

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DO - 10.1006/jath.1995.1120

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