×

zbMATH — the first resource for mathematics

\(\Lambda \)-strongly summable sequence spaces in \(n\)-normed spaces defined by ideal convergence and an Orlicz function. (English) Zbl 1340.46005
The authors define some new sequence spaces via ideal convergence, \(\lambda \)-sequence and an Orlicz function in \(n\)-normed spaces. In fact, these spaces are generalizations of \(\lambda \)-sequences introduced and studied by M. Mursaleen and A. K. Noman [Thai J. Math. 8, No. 2, 311–329 (2010; Zbl 1218.46005)]. It is proved here that these spaces are paranormed under a certain paranorm. They also establish several inclusion relations. Moreover, it is shown that these are solid.

MSC:
46A45 Sequence spaces (including Köthe sequence spaces)
PDF BibTeX XML Cite
Full Text: DOI