Paranormed sequence spaces w(u, v; p, δ), w0(u, v; p, δ) and w∞(u, v; p, δ) generated by combining a generalized weighted mean and a difference operator
2014 (English)In: Far East Journal of Mathematical Sciences, ISSN 0972-0871, Vol. 90, no 2, p. 253-269Article in journal (Refereed) Published
Abstract [en]
The sequence spaces w(p), w0(p) and w∞(p) were introduced and studied by Maddox [1]. In [10, 11], the authors have introduced sequence spaces c0(u, v, p), c(u, v, p), l∞(u, v, p) and l(u, v, p) and established some properties. Recently, in [16], the sequence spaces c0(u, v; p, Δ), c(u, v; p, Δ), l∞(u, v; p, Δ) and l(u, v; p, Δ).
Place, publisher, year, edition, pages
2014. Vol. 90, no 2, p. 253-269
Keywords [en]
Generalized weighted mean, Matrix transformation, Paranormed sequence spaces, β-dual
National Category
Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-27103Scopus ID: 2-s2.0-84906858452OAI: oai:DiVA.org:mdh-27103DiVA, id: diva2:773684
Projects
IDEAS2014-12-192014-12-192014-12-31Bibliographically approved