Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

Abstract

The concept of 2-normed spaces was initially developed by Gähler [6] in the mid of 1960’s, while that of n-normed spaces one can see in Misiak [17]. Since then, many others have studied this concept and obtained various results, see Gunawan ([7], [8]) and Gunawan and Mashadi [9] and many others. Let n ∈ N and X be a linear space over the field K, where K is field of real or complex numbers of dimension d, where d ≥ n ≥ 2. A real valued function ||·, · · · , ·|| on X satisfying the following four conditions: