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Absolute Tauberian Constants for Hausdorff Transformations

Published online by Cambridge University Press:  20 November 2018

Soraya Sherif
Soraya Sherif*
Affiliation:
Education College for Women, Riyadhy Saudi Arabia
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Let be a fixed sequence of real or complex numbers. The Hausdorff transform {tn} of a sequence \sn) by means of the fixed sequence (or, in short, the (H, μn) transform) is given by

where, for r, q ≧ 0,

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 1 , February 1974 , pp. 19 - 26
Copyright
Copyright © Canadian Mathematical Society 1974

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