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On the Absolute Nörlund Summability of a Fourier series (II)1

Published online by Cambridge University Press:  09 April 2009

Fu Cheng Hsiang
Fu Cheng Hsiang
Affiliation:
National Taiwan UniversityFormosa, China
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 1-2 , February 1969 , pp. 161 - 166
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]McFadden, L., ‘Absolute Nörlund summability’, Duke Math. Jour., 9 (1942), 168–207.CrossRefGoogle Scholar