| Article |
|---|
| Article name |
About Some Approximation Constants in Estimations of Approximant by Operators of Baskakova M[1](k) n и M[2](k1, k2) n of Functions of Lipα Class |
| Authors |
Lyamina O.S. Senior teacher of the Applied Informatics and Mathematics Department, lyamina-os@mail.ru |
| Bibliographic description |
|
| Section |
Scientific Reports |
| UDK |
УДК 517.51 |
| DOI |
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| Article type |
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| Annotation |
In this article some facts related to the dependence upon parameters of approximating
constants A[1](k)
O,α and A[2]k1, k2)
O,α , which characterize the quality of approximant functions Lipα
by trigonometric operators of Baskakov are considered. It was proved that for any fixed
α ∈ (0, 1) constants A[1](k)
O,α are uniformly limited on k, and constants A[2]k1, k2)
O,α doesn’t
have this property.
|
| Key words |
Baskakov’s trigonometric operators, classes of functions Lipα, the
approximation constant. |
| Article information |
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| References |
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| Full article | About Some Approximation Constants in Estimations of Approximant by Operators of Baskakova M[1](k) n и M[2](k1, k2) n of Functions of Lipα Class |
