Asymptotic expansions for the recurrence xn+1=1n∑k=1nfxkk$$ {x}_{n+1}=\frac{1}{n}\sum \limits_{k=1}^nf\left(\frac{x_k}{k}\right) $$
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Publication:6182194
DOI10.1002/MMA.8634OpenAlexW4293064046MaRDI QIDQ6182194
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8634
recursive sequencesStolz-Cesàro lemmaasymptotic expansion of a functionasymptotic expansion of a sequenceCesàro lemma
Convergence and divergence of series and sequences (40A05) Recurrences (11B37) Approximation to limiting values (summation of series, etc.) (40A25)
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