ON SOME CLASSES OF GENERALIZED DIFFERENCE PARANORMED SEQUENCE SPACES ASSOCIATED WITH MULTIPLIER SEQUENCES

摘要

In this article we introduce the generalized difference paranormed sequence spaces c_o (△~n, Λ, p), c(△~n, Λ, p) and l_∞ (△~n, Λ, p) associated with the multiplier sequence Λ = (λ_k) of nonzero complex numbers. We study their different properties and prove some inclusion relations.