On Strong and Absolute Summability

Author:

Borwein D.

Abstract

Suppose throughout that λ > 0, κ > - l. γ is real and thatThe series is said to be(i) summable (C, k) to s if (ii) strongly summable (C, k + 1) with index λ, or summable |C, k + 1|λ, to s if(iii) absolutely summable (C, k) with indices γ, λ, or summable |C, k + 1|λ, if

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. 16. Zygmund A. , Remarque sur la sommabilité des séries de fonctions orthogonales, Bull, de l'Acad. Pol. Serie A, (1926), 185–191.

2. The Maximum of a Certain Bilinear Form

3. Some theorems concerning Dirichlet's series;Hardy;Messenger of Math.,1913

4. THEOREMS ON SOME METHODS OF SUMMABILITY

5. A further note on the summability of a power series on its circle of convergence;Chow;Ann. Acad. Sinica,1954

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