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Approximation of Urysohn operator with operator polynomials of Stancu type

We study a one-parameter family of positive polynomial operators of one and two variables that approximate the Urysohn operator. In the case of two variables, the integration domain is a "rectangular isosceles triangle". As a special case, Bernstein-type polynomials are obtained....

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Bibliographic Details
Date:	2012
Main Authors:	Demkiv, I. I., Makarov, V. L., Демків, І. І., Макаров, В. Л.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2579
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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