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Some matrix transformations and almost convergence

DOI: 10.3126/kuset.v8i2.7330, PP. 89-92

Keywords: Sequence space of non-absolute type,almost bounded sequences,?-duals and Matrix mappings

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Abstract:

The sequence space bv(u,p) has been defined and the classes (bv(u,p):l ? ) , (bv(u,p):c) ,and? (bv(u,p):c 0 ) of infinite matrices have been characterized by Ba?ar, Altay and Mursaleen ( see, [2] ). The main purposes of the present paper is to characterize the classes (bv(u,p):? ? ) , (bv(u, p):?) , and? (bv(u,p):? 0 ) ,?where ? ? , ?, and ? 0 denotes the spaces of almost bounded sequences, almost convergent sequences and almost convergent null sequences, respectively, with real or complex terms. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 89-92 DOI: http://dx.doi.org/10.3126/kuset.v8i2.7330

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