Abstract
In Theorem 1 a set of sufficient conditions is investigated for the summability factor of type θ n ∈ ( | N ¯ , q | k , | N ¯ , p | k ) , k ≥ 1 {\theta _n} \in (|\bar N ,q{|_k},|\bar N ,p{|_k}),k \geq 1 . In the special case when k = 1 k = 1 three different sets of necessary and sufficient conditions are established in Theorem 2 for the factor θ n {\theta _n} . Various known and some new results are also deduced as special cases.
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