# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 34 (2005) pp.667-677

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### Abstract

In this article we introduce the sequence space $m\left( f,\phi ,\Delta ^{n},p,q\right) ,$ $1\leq p<\infty ,$ using modulus functions. We study its different properties like completeness, solidity etc. Also we obtain some inclusion results involving the space \$m\left( f,\phi ,\Delta ^{n},p,q\right) .

MSC(Primary) 40F05 40A25, 40A05 completeness, modulus function, difference sequence space, seminorm, solid space, symmetric space