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On the Absolute Nörlund Summability of a Fourier series (II)1
Published online by Cambridge University Press: 09 April 2009
Extract
Let be a given series with its partial sums {Sn} and {Pn} a sequence of real or complex parameters. Write. The transformation given by defines the Nörlund means of {Sn} generated by {Pn}. The series Σann is said to be absolutely summable (N, pn) or summable ∣N, pn∣, if {tn} is of bounded variation, i.e., Σ|tn—tn−1| converges.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 9 , Issue 1-2 , February 1969 , pp. 161 - 166
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- Copyright © Australian Mathematical Society 1969
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