A generalization of the universality of power lacunary series (Q1759246)

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scientific article; zbMATH DE number 6108788
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A generalization of the universality of power lacunary series
scientific article; zbMATH DE number 6108788

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    A generalization of the universality of power lacunary series (English)
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    20 November 2012
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    The authors study a universal power series of lacunary structure. Their main theorem generalizes the universality of a power series for the case of special sums. They also construct sums which approximate an arbitrary function belonging to a certain class on closed sets of a special type.
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    universal power series
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    lacunary series
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    uniform approximation
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