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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2010, Issue 3(4), Pages 49–51
(Mi pfmt176)
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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
Equivalent structural characteristic of the given generalized modulus of smoothness
G. N. Kazimirov F. Skorina Gomel State University, Gomel
Abstract:
In this paper the equivalence of the $k$-th generalized modulus of smothness determined with the help of the generalized shift operator and Peetres $K$-functional is proved.
Keywords:
Jacobi generalized shift operator, generalized modulus of smoothness, $K$-functional.
Received: 20.07.2010
Citation:
G. N. Kazimirov, “Equivalent structural characteristic of the given generalized modulus of smoothness”, PFMT, 2010, no. 3(4), 49–51
Linking options:
https://www.mathnet.ru/eng/pfmt176 https://www.mathnet.ru/eng/pfmt/y2010/i3/p49
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Statistics & downloads: |
Abstract page: | 107 | Full-text PDF : | 46 | References: | 34 |
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