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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Absolute summability factors of type $ (X,Y)$


Author: K. N. Mishra
Journal: Proc. Amer. Math. Soc. 122 (1994), 531-539
MSC: Primary 40D15; Secondary 40F05
DOI: https://doi.org/10.1090/S0002-9939-1994-1201805-7
MathSciNet review: 1201805
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Abstract: In Theorem 1 a set of sufficient conditions is investigated for the summability factor of type $ {\theta _n} \in (\vert\bar N ,q{\vert _k},\vert\bar N ,p{\vert _k}),k \geq 1$. In the special case when $ k = 1$ three different sets of necessary and sufficient conditions are established in Theorem 2 for the factor $ {\theta _n}$. Various known and some new results are also deduced as special cases.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1201805-7
Keywords: Absolute summability, absolutely regular, absolute convergence, space of absolutely convergent series, absolutely conservative
Article copyright: © Copyright 1994 American Mathematical Society