summability method


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Related to summability method: Convergent series, diverges

summability method

[‚səm·ə¦bil·əd·ē ‚meth·əd]
(mathematics)
A method, such as Hölder summation or Cesaro summation, of attributing a sum to a divergent series by using some process to average the terms in the series.
References in periodicals archive ?
OBERMAIER, A modified Fejer and Jackson summability method with respect to orthogonal polynomials, J.
However, we can define a symmetric summability method, see the remark after Corollary 2.
Schoenberg, The integrability of certain functions and related summability methods, Amer.
The most common summability method for functions x is an integral method A defined by the transformation
However, using a summability method, say the Fejer's method, we can extend (11).
m,n,u,v]) is a four dimensional bounded regular real summability method satisfying condition (S) and w = ([w.
Schoenberg (1959) studied statistical convergence as a summability method and listed some of elementary properties of statistical convergence.
The paper defines and studies two types of statistical convergence and a summability method for difference sequences over a normed space.
Schoenberg [3] studied statistical convergence as a summability method and listed some of elemantary properties of statistical convergence.
It is quite natural to expect that some new sequence spaces by double lacunary summability method can be defined by combining the concept of Orlicz function and I-convergence.
u[right arrow][infinity]]y(u) = s exists, then we say that x = x(u) is convergent to s with respect to the summability method A, and write x(u)[right arrow]s(A).