Generalized difference sequence s pace defined by |$$
\bar N
$$, pk| summability and an Orlicz function in seminormed s pace |
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Authors: | Vinod K Bhardwaj Indu Bala |
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Institution: | (1) Department of Mathematics, Firat University, 23119 Elazig, Turkey;(2) Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India |
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Abstract: | The object of this paper is to introduce a new difference sequence space which arise from the notions of |$
\bar N
$
\bar N
, p
k
| 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.: The sequence space |$
\bar N_p
$
\bar N_p
|(M, r, q, s) on seminormed spaces, Appl. Math. Comput. 154 (2004), 423–430], BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$
\bar N
$
\bar N
, p
n
| summability, Demonstratio Math. 32 (1999), 539–546] and BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$
\bar N
$
\bar N
, p
n
| summability and an Orlicz function, Indian J. Pure Appl. Math. 31 (2000), 319–325]. |
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Keywords: | |
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