Asymptotic expansions for the recurrence xn+1=1n∑k=1nfxkk$$ {x}_{n+1}=\frac{1}{n}\sum \limits_{k=1}^nf\left(\frac{x_k}{k}\right) $$ (Q6182194)
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scientific article; zbMATH DE number 7781295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic expansions for the recurrence xn+1=1n∑k=1nfxkk$$ {x}_{n+1}=\frac{1}{n}\sum \limits_{k=1}^nf\left(\frac{x_k}{k}\right) $$ |
scientific article; zbMATH DE number 7781295 |
Statements
Asymptotic expansions for the recurrence xn+1=1n∑k=1nfxkk$$ {x}_{n+1}=\frac{1}{n}\sum \limits_{k=1}^nf\left(\frac{x_k}{k}\right) $$ (English)
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21 December 2023
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asymptotic expansion of a function
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asymptotic expansion of a sequence
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Cesàro lemma
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recursive sequences
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Stolz-Cesàro lemma
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