Article contents
On the absolute Nörlund summability of a Fourier series
Published online by Cambridge University Press: 09 April 2009
Extract
Let Σn−0∞an, be a given infinite series and {sn} the sequence of its partial sums. Let {pn} be a sequence of constants, real or complex, and let us write
If
as n → ∞, then we say that the series is summable by the Nörlund method (N, pn) to σ And the series a,Σan, is said to be absolutely summable (N, pn) or summable |N, Pn| if {σn} is of bounded variation, i.e.,
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1967
References
- 3
- Cited by