convergent series


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convergent series

[kən′vər·jənt ′sir‚ēz]
(mathematics)
A series whose sequence of partial sums has a limit.
References in periodicals archive ?
Their topics include the measurability and semi-continuity of multifunctions, the optimality of function spaces in Sobolev embeddings, a note on the off-diagonal Muckenhoupt-Wheedon conjecture, the Radon-Nikod<'y>m theorem for vector measures and integral representation of operators on Banach function spaces, and the Orlicz-Pettis theorem for multiplier convergent series.
It can be represented by the fast convergent series l = [[summation].
gamma]] does not hold, since the sequence of partial sums of a double convergent series need not to be bounded.
Tsalamengas and Fikioris [9] have proposed a technique based on the asymptotic approximation in the space domain followed by rapidly convergent series [12] to accelerate the summation of series.
the fluid velocity components as sums of convergent series using the Adomian decomposition technique and compute the admissible values of the shear-stress on the plate surface Consider the stream function [psi]
There are well explained examples of limits and convergent series that will prepare students for the theoretical aspects of senior calculus courses.
In this paper we continue our study on finding generalized identities [8, 9] that produce fast convergent series for some classical constants.
Focusing on the Orlicz-Pettis theorem, this work explains the properties and applications of multiplier convergent series with values in a topological vector space.
k] is an absolutely convergent series and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
One story holds that Euler once settled a dispute between two of his students over the sum of a complicated convergent series by mentally calculating the result to the 50th decimal place.
Although the pdfs are rather complicated, they can be expressed as convergent series (Johnson, Kotz, and Balakrishnan [7]).
SA Following the Convergent Series and Transvergence in Sheffield's Heritage Universe series, this novel once again toys with the theories of the Builders and their enigmatic artifacts.

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