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$$\Lambda$$-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)
##### Keywords:
$$\lambda$$-sequence; $$n$$-normed space; Orlicz function
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