Divergence of trigonometric lacunary interpolation (Q1067142)

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scientific article; zbMATH DE number 3927587
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Divergence of trigonometric lacunary interpolation
scientific article; zbMATH DE number 3927587

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    Divergence of trigonometric lacunary interpolation (English)
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    1985
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    The authors prove divergence theorems for (O,M)-type lacunary trigonometric interpolation (M even) on equally spaced knots, in the uniform norm and in the weighted \(L^ p\) norm, \(p>0\). The results are given in terms of moduli of continuity with some special properties.
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    divergence theorems
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    lacunary trigonometric interpolation
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    equally spaced knots
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