A unified representation for some interpolation formulas-Reference-Cited by-同舟云学术

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A unified representation for some interpolation formulas

Published:2020-08-01 Issue:3 Volume:40 Page:113-125
ISSN:2196-6753
Container-title:Analysis
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Author:

Masjed-Jamei Mohammad¹,Moalemi Zahra²,Koepf Wolfram³

Affiliation:

1. Department of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315–1618, Tehran, Iran; Research Scholar, Alexander von Humboldt Foundation, Germany

2. Department of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315–1618, Tehran, Iran

3. Institute of Mathematics, University of Kassel, Heinrich-Plett Str. 40, 34132Kassel, Germany

Abstract

AbstractAs an extension of Lagrange interpolation, we introduce a class of interpolation formulas and study their existence and uniqueness. In the sequel, we consider some particular cases and construct the corresponding weighted quadrature rules. Numerical examples are finally given and compared.

Funder

Alexander von Humboldt-Stiftung

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anly/40/3/article-p113.xml

Reference40 articles.

1. Nonpolynomial interpolation;J. Approx. Theory,1983

2. New error bounds for Gauss–Legendre quadrature rules;Filomat,2014

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