New type of Lacunary Orlicz difference sequence spaces generated by infinite matrices
نویسندگان
چکیده
منابع مشابه
On difference sequence spaces defined by Orlicz functions without convexity
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
متن کاملOn some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary ∆m-statistical convergence
In this article, we introduce the lacunary difference sequence spaces w0(M , θ,∆ n m, p, q), w1(M , θ,∆ n m, p, q) and w∞(M , θ,∆ n m, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of qlacunary ∆nm-statistical convergent sequences. Further, we study the relationship between q-lacunary ∆nm-statis...
متن کاملVector-valued Sequence Spaces Generated by Infinite Matrices
Let A= (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp , and several others. In this paper, conditions under which these three paranormed spaces are ...
متن کاملSome Generalized Lacunary statistically difference double semi- normed sequence spaces defined by Orlicz function
In this article, we have introduced the idea of statistically convergent generalized difference lacunary double sequence spaces 2 [ ( , , , )] n w M p q θ Δ , 2 0 [ ( , , , )] n w M p q θ Δ and defined over a semi norm space (X, q). Also we have study some basic properties and obtained some inclusion relations between them.
متن کاملSome New Lacunary Strong Convergent Vector-valued Multiplier Difference Sequence Spaces Defined by a Musielak-orlicz Function
In the present paper we introduce some vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function, concepts of lacunary convergence and strong (A, u)-convergence, where A = (aik) is an infinite matrix of complex numbers and u = (ui) be any sequence of strictly positive real numbers. We also make an effort to study some topological properties and some inclusion rel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2016
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1612195e