Displaying similar documents to “Characterization on some absolute summability factors of infinite series.”

Product Theorems for Certain Summability Methods in Non-archimedean Fields

P.N. Natarajan (2003)

Annales mathématiques Blaise Pascal

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In this paper, K denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in K . The main purpose of this paper is to prove some product theorems involving the methods M and ( N , p n ) in such fields K .

Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations

Zhuangchu Luo, Hua Chen, Changgui Zhang (2012)

Annales de l’institut Fourier

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In this paper, we study a class of first order nonlinear degenerate partial differential equations with singularity at ( t , x ) = ( 0 , 0 ) ∈ C 2 . Using exponential-type Nagumo norm approach, the Gevrey asymptotic analysis is extended to case of holomorphic parameters in a natural way. A sharp condition is then established to deduce the k -summability of the formal solutions. Furthermore, analytical solutions in conical domains are found for each type of these nonlinear singular PDEs.

Summation of Fourier series.

Weisz, Ferenc (2004)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On matrix rapid filters

Winfried Just, Peter Vojtáš (1997)

Fundamenta Mathematicae

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Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.