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Abstract We characterize ideals on N for which the ideal limit function is representable as an intersection (union resp.) of matrix summability methods. More specifically, we characterize ideals I for… Click to show full abstract
Abstract We characterize ideals on N for which the ideal limit function is representable as an intersection (union resp.) of matrix summability methods. More specifically, we characterize ideals I for which there is a family M of matrices such that a sequence x is I -convergent to L ⇔ x is A-summable to L for every (some resp.) A ∈ M . We consider separately cases of all sequences and bounded sequences. We also consider I ⁎ -convergence.
Keywords:
intersection;
summability methods;
matrix summability;
union;
convergence
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!