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1. ON A GENERALIZED DIFFERENCE SEQUENCE SPACES DEFINED BY A MODULUS FUNCTION AND STATISTICAL CONVERGENCE

Author

H A Bataineh Ahmad

Subjects
Discrete mathematics, Sequence, Applied Mathematics, General Mathematics, Besov space, Limit of a sequence, Interpolation space, Birnbaum–Orlicz space, Lp space, Modes of convergence, Sequence space, Mathematics
Abstract

In this paper, we define the sequence spaces: , where E is any Banach space, and u = () be any sequence such that for any k , examine them and give various properties and inclusion relations on these spaces. We also show that the space may be represented as a space. These are generalizations of those defined and studied by M. Et., Y. Altin and H. Altinok [7].

Published
2006
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