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Home / Journals / Bulletin of KSAU / Issue 6 / ON THE NORM ASSESSMENT OF THE ERROR FUNCTIONALIN Hα SPACES OF QUADRATURE FORMULAS EXACT FOR HAAR POLYNOMIALS
ON THE NORM ASSESSMENT OF THE ERROR FUNCTIONALIN Hα SPACES OF QUADRATURE FORMULAS EXACT FOR HAAR POLYNOMIALS
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ON THE NORM ASSESSMENT OF THE ERROR FUNCTIONALIN HΑ SPACES OF QUADRATURE FORMULAS EXACT FOR HAAR POLYNOMIALS
Kirillov K A 1
Authors:
1.  Sibirskiy federal'nyy universitet

Type:
Article
Pages:
from 53 to 57
Status:
Published
Received:
21.06.2014
Accepted:
23.06.2014
Published:
25.06.2014
Subject area:
517.518.87
Language:
Russian
Keywords:
α function spaces, error functional of quadrature formula
Abstract and keywords
Abstract (English):
On the Н α spaces the upper norm assessment of the error functional of quadrature formulas possessing the Haar’s d-propertyis obtained.

Keywords:
α function spaces, error functional of quadrature formula
Text
Text (PDF): Read Download
References

1. Sobol' I.M. Mnogomernye kvadraturnye formuly i funkcii Haara. - M.: Nauka, 1969. - 288 s.

2. Kirillov K.A., Noskov M.V. Minimal'nye kvadraturnye formuly, tochnye dlya polinomov Haara // Zhurn. vychislitel'noy matematiki i matematicheskoy fiziki. - 2002. - T. 42. - № 6. - S. 791-799.

3. Noskov M.V., Kirillov K.A. Minimal cubature formulas exact for Haar polynomials // J. of Approximation Theory. - 2010. - Vol. 162. - Issue 3. - P. 615-627.

4. Kirillov K.A. Ob ocenkah pogreshnosti kvadraturnyh formul, tochnyh dlya polinomov Haara // Vychislitel'nye metody i programmirovanie. - 2011. - T. 12. - S. 330-337.

5. Kirillov K.A. Ocenki normy funkcionala pogreshnosti kvadraturnyh formul, tochnyh dlya polinomov Haara // Zhurn. SFU. Ser. Matematika i fizika. - 2011. - T. 4. - № 4. - S. 479-488.

6. Kirillov K.A. Ocenki na prostranstvah Sp normy funkcionala pogreshnosti kvadraturnyh formul, tochnyh dlya polinomov Haara // Zhurn. vychislitel'noy matematiki i matematicheskoy fiziki. - 2012. - T. 52. - № 10. - S. 1747-1755.

7. Kirillov K.A. Ob ocenke pogreshnosti minimal'nyh vesovyh kvadraturnyh formul, tochnyh dlya funkciy Haara // Vychislitel'nye tehnologii. - 2006. - T. 11 (spec. vyp.). - S. 44-50.

8. Kirillov K.A. Ocenki normy funkcionala pogreshnosti na prostranstvah Sp vesovyh kvadraturnyh formul, tochnyh dlya polinomov Haara // Vychislitel'nye metody i programmirovanie. - 2012. -T. 13. - S. 324-331.

9. Kirillov K.A. Ob ocenke normy funkcionala pogreshnosti na prostranstvah Sp vesovyh kvadraturnyh formul, tochnyh dlya polinomov Haara // Vestn. KrasGAU. - 2013. - № 7. - S. 30-36.

10. Haar A. Zur Theorie der orthogonalen Funktionensysteme // Math. Ann. - 1910. - Vol. 69. - P. 331-371.

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