an:06258762
Zbl 1340.46005
Esi, Ayhan; ??zdemir, M. Kemal
\(\Lambda \)-strongly summable sequence spaces in \(n\)-normed spaces defined by ideal convergence and an Orlicz function
EN
Math. Slovaca 63, No. 4, 829-838 (2013).
00329395
2013
j
46A45
\(\lambda \)-sequence; \(n\)-normed space; Orlicz function
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 \textit{M. Mursaleen} and \textit{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.
M. Mursaleen (Aligarh)
Zbl 1218.46005