On the Generalized Nakano Sequence Space

M. Sengonul


The main purpose of this note is to define and to investigate the generalized Nakano sequence space A(p) and show that the sequence space A(p) equipped with the Luxemburg norm is rotund and posses property-H when $p = (p_k)$ is bounded with $p_k > 1$ for all $k \in N$.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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