Difference sequence spaces derived by using a generalized weighted mean

DOI10.1016/j.aml.2010.11.020zbMath1223.46005arXiv1007.4288OpenAlexW2040042059MaRDI QIDQ628243

Necip Şimşek, Harun Polat, Vatan Karakaya

Publication date: 10 March 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4288

zbMATH Keywords

matrix mappingsgeneralized weighted meandifference sequence space\(\alpha\)-, \(\beta\)- and \(\gamma\)-duals and bases of sequences\(AK\) and \(AD\) properties

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Summability and bases in topological vector spaces (46A35)

Related Items (19)

Unnamed Item ⋮ Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces ⋮ On some classes of compact and matrix operators on the generalized weighted mean difference sequence spaces of fractional order ⋮ Some new paranormed difference sequence spaces and weighted core ⋮ Applications of Orlicz-Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators ⋮ Measures of noncompactness in (N¯qΔ)summable difference sequence spaces ⋮ Bounded variation of sequences of fuzzy numbers by using generalized weighted mean ⋮ Paranormed sequence space of non-absolute type founded using generalized difference matrix ⋮ On the \(B\)-difference sequence space derived by generalized weighted mean and compact operators ⋮ A note on paranormed difference sequence spaces of fractional order and their matrix transformations ⋮ Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means ⋮ On paranormed \(\lambda \)-sequence spaces of non-absolute type ⋮ On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence ⋮ A new difference sequence set of order \(\alpha\) and its geometrical properties ⋮ On some geometric properties of a new paranormed sequence space ⋮ Negative Difference Operator and Its Associated Sequence Space ⋮ Difference sequence spaces derived by using generalized means ⋮ A SET OF NEW PARANORMED DIFFERENCE SEQUENCE SPACES AND THEIR MATRIX TRANSFORMATIONS ⋮ On some properties of difference operator with some characterizations

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• On Certain Sequence Spaces

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