Results 291 to 300 of about 665,501 (321)

Multipliers of Absolute Convergence

Mathematical Notes, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsagareishvili, V. Sh., Tutberidze, Giorgi   +1 more
openaire   +2 more sources

A variation on absolutely almost convergence

AIP Conference Proceedings, 2018
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki ...
Cakalli, Huseyin, Taylan, Iffet
openaire   +1 more source

ON SETS OF ABSOLUTE CONVERGENCE

Mathematics of the USSR-Sbornik, 1981
In this paper the author indicates a certain class of planar curves such that any set of positive linear measure on them is a set of absolute convergence for double trigonometric series. Bibliography: 11 titles.
openaire   +1 more source

On the Absolute Convergence of Dirichlet Series

The Annals of Mathematics, 1931
This paper contains a complete solution of a problem of great importance for the theory of Dirichlet series, which was formulated by \textit{H. Bohr} [Nachr. Ges. Wiss. Göttingen, Math.-Phys. Kl. 1913, 441--488 (1913; JFM 44.0306.01)] but during 18 years resisted the efforts of several mathematicians.
Bohnenblust, H. F., Hille, Einar
openaire   +1 more source

Convergence, Absolute Convergence and Strong Convergence with Periodicity

Journal of the London Mathematical Society, 1973
We write \(| S|\in Z_k\), where \(k\) \((\geq 1)\) is a positive integer, if the series \(\sum_{n=0}^\infty (S_{n+k}-S_n)\) converges, and call \(Z_k\) the space of all convergent sequences of period \(k\). Here several theorems have been proved, connecting the \(Z_k\), \(| Z_k|\), \(C_\alpha\), \(| C_\alpha|\) etc. Following are the first two theorems
openaire   +1 more source

On the Absolute Convergence of Fourier Series

gmj, 1997
Abstract The necessary and sufficient conditions of the absolute convergence of a trigonometric Fourier series are established for continuous 2π-periodic functions which in [0, 2π] have a finite number of intervals of convexity, and whose 𝑛th Fourier coefficients are O(ω(1/𝑛; 𝑓)/𝑛), where ω(δ; 𝑓) is the continuity modulus of the function
openaire   +2 more sources

Series that Converge Absolutely but Don't Converge

The College Mathematics Journal, 2012
If a series of real numbers converges absolutely, then it converges. The usual proof requires completeness in the form of the Cauchy criterion. Failing completeness, the result is false.
Robert Kantrowitz, Michael Schramm
openaire   +1 more source

Non-absolutely Convergent Generalized Laplacian

Potential Analysis, 2020
The authors introduce a generalization of the Laplace operator, based on a new type of non-absolutely convergent integral. With this tool, the authors prove new Blaschke-Privaloff-type criteria for harmonicity and superharmonicity. Moreover, such integral, where the integrand may be a highly oscillating pointwise function or a distribution-valued ...
Jan Malý, Ivan Netuka
openaire   +2 more sources

Absolute Almost Convergence and Riesz Convergence

2014
In this chapter, we define the notion of almost bounded variation and absolute almost convergence for double sequences. We use the definition of absolute almost convergence to define absolute almost conservative and absolute almost regular matrices and find necessary and sufficient conditions to characterize these matrices.
M. Mursaleen, S. A. Mohiuddine
openaire   +1 more source

ABSOLUTE CONVERGENCE OF LACUNARY SERIES

Mathematics of the USSR-Izvestiya, 1967
Zygmund's theorem on absolute convergence of lacunary trigonometric series is generalized to apply to a wider class of lacunary sequences. An analogous result is established for the Walsh system.
openaire   +1 more source