Absolute summability factors of type (𝑋,𝑌)

Mishra, K. N.

doi:10.1090/S0002-9939-1994-1201805-7

Absolute summability factors of type $(X,Y)$
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Proc. Amer. Math. Soc. 122 (1994), 531-539 Request permission

Abstract:

In Theorem 1 a set of sufficient conditions is investigated for the summability factor of type ${\theta _n} \in (|\bar N ,q{|_k},|\bar N ,p{|_k}),k \geq 1$. 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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