Approximation properties of some trigonometric polynomials (Q1113406)
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scientific article; zbMATH DE number 4082207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation properties of some trigonometric polynomials |
scientific article; zbMATH DE number 4082207 |
Statements
Approximation properties of some trigonometric polynomials (English)
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1987
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The partial sums of trigonometric interpolating polynomials of bounded \(2\pi\) periodic functions are considered. The speed of pointwise and uniform convergence of these sums are evaluated in terms of pseudovariations, variations and modulus of continuity of functions Riemann-integrable over \(<-\pi,\pi >\).
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trigonometric interpolating polynomials
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bounded 2\(\pi \) periodic functions
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uniform convergence
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pseudovariations
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modulus of continuity
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