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Theorems on Strong Riesz Summability Factors

Published online by Cambridge University Press:  20 January 2009

B. L. R. Shawyer
B. L. R. Shawyer
Affiliation:
The University, Nottingham
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Throughout this note it will be assumed that

(i) unless otherwise stated, k; is a positive integer,

(ii) a ≧ 0; m > − 1,

(iii) q ≧ 1; q′ is the conjugate number to q, and is defined by

(iv) the functions φ(w), ψ(w) are defined in [0, ∞) with absolutely continuous kth derivatives in every interval [a, W],

(v) φ(w) is non-negative and unboundedly increasing,

(vi) λ = {λn} is an unboundedly increasing sequence with λ1 > 0.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 1 , June 1966 , pp. 19 - 27
Copyright
Copyright © Edinburgh Mathematical Society 1966

References

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