Results 1 to 10 of about 2,666 (143)
Ordinary, absolute and strong summability and matrix transformations [PDF]
Filomat, 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 ...
Abdullah Jarrah, Eberhard Malkowsky
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Tauberian Theorems for Strong and Absolute Borel-Type Methods of Summability(1) [PDF]
Canadian 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
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On Strong and Absolute Summability [PDF]
Proceedings 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 ...
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Researches 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.
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Researches 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.
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Resumming the string perturbation series [PDF]
, 2015 We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory.
Grassi, Alba +2 more
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A categorical analogue of the monoid semiring construction [PDF]
, 2012 This paper introduces and studies a categorical analogue of the familiar monoid semiring construction. By introducing an axiomatisation of summation that unifies notions of summation from algebraic program semantics with various notions of summation from
Hines, Peter
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Voronoi means, moving averages, and power series [PDF]
, 2016 We introduce a {\it non-regular} generalisation of the N\"{o}rlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series.
Bingham, N. H., Gashi, Bujar
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Sparse Deterministic Approximation of Bayesian Inverse Problems [PDF]
, 2011 We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the forward problems are parametric, deterministic elliptic partial differential ...
A M Stuart +12 more
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, 2013 It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U. +2 more
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