Article contents
On Riesz summability factors
Published online by Cambridge University Press: 18 May 2009
Extract
1. Suppose throughout that a, k are positive numbers and that p is the integer such that k—l≦p<k. Suppose also that φ(w), ψ(w) are functions with absolutely continuous (p+1)th derivatives in every interval [a, W] and that φ(w) is positive and unboundedly increasing. Let λ ={λn} be an unboundedly increasing sequence with λ1 > 0.
Given a series and a number m ≧0, we write
otherwise,
and A(w) = AO(w).
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 1962
References
- 1
- Cited by