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Abstract We introduce a convergence of weight g: ℕ → [0, ∞) where g(n) → ∞ and n/g(n) ↛ 0 with respect to a summability matrix method A for sequences… Click to show full abstract
Abstract We introduce a convergence of weight g: ℕ → [0, ∞) where g(n) → ∞ and n/g(n) ↛ 0 with respect to a summability matrix method A for sequences (which generalizes the notion of A-convergence of order α, 0 < α ≤ 1 [BOCCUTO, A.—DAS, P.: On matrix methods of convergence of order (α) in (ℓ)-groups, Filomat 29 (2015), 2069–2077] in a (ℓ)-group. We prove some basic results including a Cauchy-type criterion. Finally a closedness result for the space of such convergent sequences is proved.
Keywords:
certain generalized;
matrix;
matrix methods;
generalized matrix;
methods convergence;
convergence
Journal Title: Mathematica Slovaca
Year Published: 2017
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Journal Title: Mathematica Slovaca
Year Published: 2017
Link to full text (if available)
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recommendations!