Let (Formula presented.) be a positive real sequence decreasing to 0 such that the series (Formula presented.) is divergent and (Formula presented.). We show that there exists a constant (Formula presented.) such that, for each (Formula presented.), there is a subsequence (Formula presented.) for which (Formula presented.) and (Formula presented.).

Convergence Rates of Subseries

Leonetti P
2019

Abstract

Let (Formula presented.) be a positive real sequence decreasing to 0 such that the series (Formula presented.) is divergent and (Formula presented.). We show that there exists a constant (Formula presented.) such that, for each (Formula presented.), there is a subsequence (Formula presented.) for which (Formula presented.) and (Formula presented.).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2142089
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