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Generalized difference sequence space defined by $|\bar{N},pk|$ summability

In: Mathematica Slovaca, vol. 60, no. 2
Vinod K. Bhardwaj - Indu Bala
Detaily:
Rok, strany: 2010, 257 - 264
Kľúčové slová:
difference sequence space, Orlicz function, summability, topological linear space
O článku:
The object of this paper is to introduce a new difference sequence space which arise from the notions of $|\bar{N},pk|$ summability and an Orlicz function in seminormed complex linear space. Various algebraic and topological properties and certain inclusion relations involving this space have been discussed. This study generalizes results: [ALTIN, Y.—ET, M.—TRIPATHY, B. C.: \textit{The sequence space $|\bar{Np}|(M,r,q,s)$ on seminormed spaces}, Appl. Math. Comput. \textbf{154} (2004), 423–430], [BHARDWAJ, V. K.—SINGH, N.: \textit{Some sequence spaces defined by $|\bar{N}, pn|$ summability}, Demonstratio Math. \textbf{32} (1999), 539–546] and [BHARDWAJ, V. K.—SINGH, N.: \textit{Some sequence spaces defined by $|\bar{N}, pn|$ summability and an Orlicz function}, Indian J. Pure Appl. Math. \textbf{31} (2000), 319–325].
Ako citovať:
ISO 690:
Bhardwaj, V., Bala, I. 2010. Generalized difference sequence space defined by $|\bar{N},pk|$ summability. In Mathematica Slovaca, vol. 60, no.2, pp. 257-264. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0010-1

APA:
Bhardwaj, V., Bala, I. (2010). Generalized difference sequence space defined by $|\bar{N},pk|$ summability. Mathematica Slovaca, 60(2), 257-264. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0010-1
O vydaní: