summability


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summability

(ˌsʌməˈbɪlɪtɪ)
n
(Mathematics) the quality of being summable
References in periodicals archive ?
Let us consider the 2[pi]-periodic trigonometric polynomial operator (or summability operator)
Infinite Series in a History of Analysis: Stages up to the Verge of Summability
Summability is a wide field of mathematics, mainly in analysis and functional analysis, and has many applications, for instance, in numerical analysis to speed up the rate of convergence, in operator theory, the theory of orthogonal series, and approximation theory.
Riesz, have been studied in connection with summability of Fourier series and of Dirichlet series [3] and [4].
Brown, The summability field of a perfect l-l method of summation, J.
Finally, the summability condition (10) is satisfied as long as the mixing decay rate is [alpha](k) = O([k.
Here [alpha] should have certain summability properties.
Some specific topics include a reduction method for higher order variational equations, applications of summability, the structure of time and inertial forces in Lagrangian mechanics, and differential invariant algebras.
A general summability method, the so called [theta]-summability is considered for Gabor series.
These estimations will allow to study convergence and summability properties of spectral expansions connected with perturbed selfadjoint operator.