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 ?
Yavuz, "Euler summability method of sequences of fuzzy numbers and a Tauberian theorem," Journal of Intelligent and Fuzzy Systems, p.
To prove (a)-(c) we have extended Balser-Kostov summability method [1], establishing in Section 4 Gevrey asymptotic expansion directly from the equation.
The Holder summability method is regular, more generally, if a sequence ([u.sub.n]) is (H, k) summable to s, where k [greater than or equal to] 0 and k' > k for integer k, k', then ([u.sub.n]) is also (H, k') summable to s.
Mishra, "On the degree of approximation of signals (Functions) belonging to the weighted W([L.sub.p], [xi](t)), (p [greater than or equal to] 1)-class by almost matrix summability method of its conjugate Fourier series," International Journal of Applied Mathematics and Mechanics, vol.
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
A general summability method, the so-called [theta]-summability, is considered for Gabor series.
Quite recently, several new Tauberian conditions for (A) (C, [alpha]) summability method have been obtained in Canak et al.
We obtain a summability method that maps the double complex sequence w into the double complex sequence Aw where the mnth term of Aw is as follows:
Schoenberg (1959) studied statistical convergence as a summability method and listed some of elementary properties of statistical convergence.