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δ-Universal Taylor Series
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DOI：10.4208/ata.2026.deng90.07.png)
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Abstract
En 中文
We present a new type of universal series, termed delta-universal series, for which the sum of squared coefficients satisfies (infinity )& sum; (k=0) |a(k)|(2) < delta for an arbitrarily small delta > 0. We establish a version of Seleznev's theorem within this framework. To construct such delta-universal series, we develop a variation of Mergelyan's theorem.
Keywords:
Universal series
Seleznev's Theorem
Mergelyan's theorem
hardy space
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0.2
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10
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