Hardy–Littlewood Tauberian theorem
id:
hardy-littlewood-tauberian-theorem-319-4966014
title:
Hardy–Littlewood Tauberian theorem
text:
In mathematical analysis, the Hardy–Littlewood Tauberian theorem is a Tauberian theorem relating the asymptotics of the partial sums of a series with the asymptotics of its Abel summation. In this form, the theorem asserts that if the sequence a n ≥ 0 is such that there is an asymptotic equivalence then there is also an asymptotic equivalence as n → ∞ . The integral formulation of the theorem relates in an analogous manner the asymptotics of the cumulative distribution function of a function wit
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Hardy%E2%80%93Littlewood_Tauberian_theorem
date created:
date modified:
2023-11-18T13:20:10Z
main entity:
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13
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