The goal of this paper is to obtain sufficient and (different) necessary conditions for a series ∑an, which is absolutely summable of order k by a triangular matrix method A, 1<k≤s<∞, to be such that ∑anλn is absolutely summable of order s by a triangular matrix method B. As corollaries, we obtain two inclusion theorems
AbstractIn this paper we prove a general theorem on |A;δ|k-summability factors of infinite series un...
AbstractBy (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, wheneve...
By (A, B), we denote the set of all sequences epsilon such that Sigma epsilon(n)x(n) is summable by ...
Abstract – We obtain sufficient conditions for the series n na λ ∑ to be absolutely summable of ord...
We obtain sufficient conditions for the series anλn to be absolutely summable of order k by a triang...
We obtain sufficient conditions for the series ∑anλn to be absolutely summable of order k by a trian...
We obtain sufficient conditions on a nonnegative lower triangular matrix A and a sequence λn for...
E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 20...
By (A,B), we denote the set of all sequences such that Σ∈ nXn is summable by B whenever ΣXn is summa...
We obtain necessary and (different) sufficient conditions for a series summable |N¯,pn|k, 1<k≤s<∞, t...
AbstractBy (A,B), we denote the set of all sequences ϵ such that Σϵnxn is summable by B whenever Σxn...
We obtain sufficient conditions on a nonnegative lower triangular matrix A and a se-quence λn for th...
By (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, whenever Σan is...
AbstractBy (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, wheneve...
By (A, B), we denote the set of all sequences epsilon such that Sigma epsilon(n)x(n) is summable by ...
AbstractIn this paper we prove a general theorem on |A;δ|k-summability factors of infinite series un...
AbstractBy (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, wheneve...
By (A, B), we denote the set of all sequences epsilon such that Sigma epsilon(n)x(n) is summable by ...
Abstract – We obtain sufficient conditions for the series n na λ ∑ to be absolutely summable of ord...
We obtain sufficient conditions for the series anλn to be absolutely summable of order k by a triang...
We obtain sufficient conditions for the series ∑anλn to be absolutely summable of order k by a trian...
We obtain sufficient conditions on a nonnegative lower triangular matrix A and a sequence λn for...
E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 20...
By (A,B), we denote the set of all sequences such that Σ∈ nXn is summable by B whenever ΣXn is summa...
We obtain necessary and (different) sufficient conditions for a series summable |N¯,pn|k, 1<k≤s<∞, t...
AbstractBy (A,B), we denote the set of all sequences ϵ such that Σϵnxn is summable by B whenever Σxn...
We obtain sufficient conditions on a nonnegative lower triangular matrix A and a se-quence λn for th...
By (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, whenever Σan is...
AbstractBy (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, wheneve...
By (A, B), we denote the set of all sequences epsilon such that Sigma epsilon(n)x(n) is summable by ...
AbstractIn this paper we prove a general theorem on |A;δ|k-summability factors of infinite series un...
AbstractBy (A, B) we denote the set of all sequences λ = (λn) such that Σanλn is summable B, wheneve...
By (A, B), we denote the set of all sequences epsilon such that Sigma epsilon(n)x(n) is summable by ...
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