Results 1 to 10 of about 49 (48)

Ordinary, absolute and strong summability and matrix transformations [PDF]

open access: yesFilomat, 2003
Many important sequence spaces arise in a natural way from various concepts of summability, namely ordinary, absolute and strong summability. In the first two cases they may be considered as the domains of the matrices that define the respective methods of summability; the situation, however, is different and more complicated in the case of strong ...
Eberhard Malkowsky, Malkowsky Eberhard
exaly   +2 more sources

Tauberian Theorems for Strong and Absolute Borel-Type Methods of Summability(1) [PDF]

open access: yesCanadian Mathematical Bulletin, 1977
Suppose throughout that s, an (n = 0,1,2,…) are arbitrary complex numbers, that α > 0 and β is real and that N is a non-negative integer such that αN + β≥1 ...
D. Borwein, E. Smet
openaire   +1 more source

On Strong and Absolute Summability [PDF]

open access: yesProceedings of the Glasgow Mathematical Association, 1960
Suppose throughout that λ > 0, κ > - l. γ is real and thatThe series is said to be(i) summable (C, k) to s if (ii) strongly summable (C, k + 1) with index λ, or summable |C, k + 1|λ, to s if(iii) absolutely summable (C, k) with indices γ, λ, or summable |C, k + 1|λ ...
openaire   +2 more sources

Absolute and strong summability in degree $p \geqslant 1$ of series, associated with Fourier series, by matrix methods

open access: yesResearches in Mathematics, 2021
We establish conditions of $|\gamma|_p$- and $[\gamma]_p$-summability in degree $p \geqslant 1$ of series, associated with Fourier series, at the point where $\gamma = \| \gamma_{nk} \|$ is the matrix of transformation of series to sequence.
openaire   +2 more sources

Absolute and strong summability in degree $p \geqslant 1$ of $r$ times differentiated Fourier series and $r$ times differentiated conjugate Fourier series by matrix methods

open access: yesResearches in Mathematics, 2021
We establish conditions of $|\gamma|_p$- and $[\gamma]_p$-summability in degree $p \geqslant 1$ of $r$ times differentiated Fourier series at the point where $\gamma = \| \gamma_{nk} \|$ is the matrix of transformation of series to sequence. Analogous conditions are considered also for $r$ times differentiated conjugate Fourier series.
openaire   +2 more sources

Generalized Hausdorff Matrices With Applications To Strong And Absolute Summability [PDF]

open access: yes, 1982
Hausdorff summability methods include such well known methods as those of Cesaro, Holder, and Euler. Consequently, the properties of Hausdorff matrices have been extensively investigated since 1921 when the German mathematician Flex von Hausdorff first published his paper entitled "Summationsmethoden und Momentfolgen I" {lcub}11{rcub}.;In 1922 ...
openaire  

Multivariate Kalman filtering for spatio-temporal processes. [PDF]

open access: yesStoch Environ Res Risk Assess, 2022
Ferreira G, Mateu J, Porcu E.
europepmc   +1 more source

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