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The sequence space \(| \overline N_p|(M, r, q, s)\) on seminormed spaces. (English) Zbl 1072.46006

Summary: We define the space \(|\overline N_p|(M,r,q,s)\) on a seminormed complex linear space by using an Orlicz function, study various properties and obtain some inclusion relations involving this space. This study generalizes some results of V. K. Bhardwaj and N. Singh [Demonstr. Math. 32, 539–546 (1999; Zbl 0939.46003), Indian J. Pure Appl. Math. 31, 319–325 (2000; Zbl 0961.46006)].

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
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References:

[1] Bhardwaj, V. K.; Singh, N., Some sequence spaces defined by \(|N,pn|\) summability, Demonstratio Math., 32, 3, 539-546 (1999) · Zbl 0939.46003
[2] Bhardwaj, V. K.; Singh, N., Some sequence spaces defined by \(|N,pn|\) summability and an Orlicz function, Indian J. Pure Appl. Math., 31, 3, 319-325 (2000) · Zbl 0961.46006
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