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Absolute summability of some series related to a fourier series

Published online by Cambridge University Press:  09 April 2009

H. P. Dikshit
H. P. Dikshit
Affiliation:
University of Allahabad, Allahabad (India) and University of Jabalpur, Jabalpur (India)
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Let {Pn} be a given sequence of constants, real or complx, such that then , defines the sequence {tn} of (N, pn) means of Σnan. The series Σnan is said to be summable I|N, pn|, if {tn} ∈ BV, −|−tn−1| ∞.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 1 , February 1972 , pp. 7 - 14
Copyright
Copyright © Australian Mathematical Society 1972

References

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