List questions from cesaro-summable

Published on 22 Aug 2017 - 3:49

138

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Summability Question

Published on 24 Aug 2017 - 18:33

596

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Proving a converse of the Cesaro theorem under extra assumptions

Published on 13 Sep 2017 - 16:05

202

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Proving the converse to the Cesaro theorem under weak assumptions

Published on 14 Sep 2017 - 17:04

439

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Are sequences with Cesaro mean a closed subset of $\ell_\infty$?

Published on 16 Sep 2017 - 10:20

356

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proof verification of $\frac{1}{n}\sum \sin nx$ having a limit

Published on 21 Sep 2017 - 14:07

59

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Proving that if $\lim_{n\to\infty}a_n=\infty$ then $\lim_{n\to\infty}b_n=\infty$, where $b_n=\frac{1}{n}\sum_{i=1}^n{a_i}$.

Published on 22 Sep 2017 - 8:22

1.7k

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General Cesaro summation with weight

Published on 22 Sep 2017 - 12:14

1.1k

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Understanding part of a proof for Stolz-Cesaro Theorem

Published on 23 Sep 2017 - 13:23

947

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Finding $\lim_{n\to\infty}\frac{1^p+3^p+...+(2n+1)^p}{n^{p+1}}$

Published on 23 Sep 2017 - 15:24

193

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Divergent sequence $(a_n)_{n\in\mathbb{N}}$ such that $(\frac{1}{n} \sum\limits_{j=1}^n a_j)_{n\in\mathbb{N}}$ converges?

Published on 30 Oct 2017 - 8:26

93

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If $a_n$ and $a_n b_n$ are Cesàro summable 0-1 sequences, is $b_n$ Cesàro summable as well?

Published on 14 Nov 2017 - 13:24

289

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Dominated convergence theorem for vairance and cesaro mean of random variables

Published on 23 Nov 2017 - 3:34

68

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Property of Cesaro summable 0-1 sequences

Published on 23 Nov 2017 - 11:26

170

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Show that $ \lim_{n \to \infty}\sum_{i=1}^n \frac{((n+1)-i)a_i}{n^2} = \frac{a}{2} $

Published on 24 Dec 2017 - 8:52

List Question

Limit of $n$-Cesaro summation as $n \to \infty$

Summability Question

Proving a converse of the Cesaro theorem under extra assumptions

Proving the converse to the Cesaro theorem under weak assumptions

Are sequences with Cesaro mean a closed subset of $\ell_\infty$?

proof verification of $\frac{1}{n}\sum \sin nx$ having a limit

Proving that if $\lim_{n\to\infty}a_n=\infty$ then $\lim_{n\to\infty}b_n=\infty$, where $b_n=\frac{1}{n}\sum_{i=1}^n{a_i}$.

General Cesaro summation with weight

Understanding part of a proof for Stolz-Cesaro Theorem

Finding $\lim_{n\to\infty}\frac{1^p+3^p+...+(2n+1)^p}{n^{p+1}}$

Divergent sequence $(a_n)_{n\in\mathbb{N}}$ such that $(\frac{1}{n} \sum\limits_{j=1}^n a_j)_{n\in\mathbb{N}}$ converges?

If $a_n$ and $a_n b_n$ are Cesàro summable 0-1 sequences, is $b_n$ Cesàro summable as well?

Dominated convergence theorem for vairance and cesaro mean of random variables

Property of Cesaro summable 0-1 sequences

Show that $ \lim_{n \to \infty}\sum_{i=1}^n \frac{((n+1)-i)a_i}{n^2} = \frac{a}{2} $

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