Approximation of the Urysohn operator by 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 an “isosceles right triangle.” As a special case, Bernstein-type polynomials are obtained. The Stancu asymptotic fo...
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| Date: | 2012 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164150 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Approximation of the Urysohn operator by operator polynomials of Stancu type / I.I. Demkiv, V.L. Makarov // Український математичний журнал. — 2012. — Т. 64, № 3. — С. 318-343. — Бібліогр.: 11 назв. — англ. |