In this article we introduce the sequence spaces c I (M ), c I 0 (M ), m I (M ) and m I 0 (M ) using the Orlicz function M . We study some of the properties like solid, symmetric, sequence algebra, etc and prove some inclusion relations.
ABSTRACT. In this article we introduced the sequence spaces ( ), 0 ( ), ( ) and 0 ( ) for = ( ), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces. We prove the decomposition theorem and obtain some inclusion relations.
Abstract. In this article we introduce the sequence spaces c I (Λ) , c I 0 (Λ) , m I (Λ) and m I 0 (Λ) associated with the multiplier sequence Λ = (λ k ) of non-zero scalars. We study the different algebraic and topological properties of these sequence spaces like solidness, symmetricity, sequence algebra, convergence free etc. Also we characterize the multiplier problem and obtain some inclusion relation involving these sequence spaces.Mathematics subject classification (2000): 40A05, 40C05.
Abstract. In this article we introduce the concepts of lacunary I-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
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