Inequalities of Bernstein and Jackson-Nikol'skii type and their applications (Q1397537)
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scientific article; zbMATH DE number 1960491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities of Bernstein and Jackson-Nikol'skii type and their applications |
scientific article; zbMATH DE number 1960491 |
Statements
Inequalities of Bernstein and Jackson-Nikol'skii type and their applications (English)
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11 August 2003
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For a certain class of trigonometric polynomials multidimensional analogs in \(L_p\) of the Bernstein and Jackson-Nikol'skii like inequalities are established. The obtained results are applied in order to prove the embedding theorems of the Ul'yanov and Stechkin-Konyushkov type.
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Bernstein inequalities
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Jackson inequality
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Nikol'skii type inequality
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trigonometric polynomials
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