List questions from cesaro-summable

Published on 06 Apr 2016 - 0:31

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Suppose that a sequence is Cesaro summable. Prove....

Published on 06 Apr 2016 - 2:18

578

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Rate of convergence of Cesàro means

Published on 06 Apr 2016 - 10:10

776

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Can we show that $1+2+3+\dotsb=-\frac{1}{12}$ using only stability or linearity, not both, and without regularizing or specifying a summation method?

Published on 04 May 2016 - 17:18

1.1k

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Calculating the Cesaro sum of $1-1+0+1-1+0+\dots$

Published on 16 May 2016 - 11:38

1.2k

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Is the Cesàro summation of a sequence divergent to infinity divergent?

Published on 22 Jun 2016 - 20:35

119

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Is boundedness required in equivalence between $\frac1n\sum_{k=1}^na_k\to0$ and $\frac1n\sum_{k=1}^na_k^2\to0$?

Published on 23 Jun 2016 - 15:16

2.6k

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Bounded sequence with divergent Cesaro means

Published on 16 Jul 2013 - 10:03

24.3k

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Convergence of series implies convergence of Cesaro Mean.

Published on 04 Oct 2013 - 17:20

58

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nonlinear sequence to sequence transformations

Published on 30 Dec 2013 - 8:18

110

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Summarise with Cesaro summation

Published on 25 Apr 2017 - 10:08

518

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Prove that $a_n:=\sin(\log(n))$ isn't Cesaro summable

Published on 11 May 2017 - 21:56

125

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multidimensional pointwise convergence of manipulated Fourier series - reference request

Published on 05 Jun 2017 - 1:15

405

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Example of $(b_n)$ such that $\lim_{n\to\infty} {\frac1n}\sum_{i=1}^{n-1}b_i$ does not exists and $0\le b_n\le 1$

Published on 25 Jul 2017 - 9:04

200

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Cesaro continiuity leads linearity

Published on 18 Aug 2017 - 21:31

List Question

Showing this piecewise series is not Cesaro summable

Suppose that a sequence is Cesaro summable. Prove....

Rate of convergence of Cesàro means

Can we show that $1+2+3+\dotsb=-\frac{1}{12}$ using only stability or linearity, not both, and without regularizing or specifying a summation method?

Calculating the Cesaro sum of $1-1+0+1-1+0+\dots$

Is the Cesàro summation of a sequence divergent to infinity divergent?

Is boundedness required in equivalence between $\frac1n\sum_{k=1}^na_k\to0$ and $\frac1n\sum_{k=1}^na_k^2\to0$?

Bounded sequence with divergent Cesaro means

Convergence of series implies convergence of Cesaro Mean.

nonlinear sequence to sequence transformations

Summarise with Cesaro summation

Prove that $a_n:=\sin(\log(n))$ isn't Cesaro summable

multidimensional pointwise convergence of manipulated Fourier series - reference request

Example of $(b_n)$ such that $\lim_{n\to\infty} {\frac1n}\sum_{i=1}^{n-1}b_i$ does not exists and $0\le b_n\le 1$

Cesaro continiuity leads linearity

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