some sequence spaces derived by riesz mean in a real 2normed space
نویسندگان
چکیده
in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence in a real 2-normed space, are defined. also, some relations between these concepts are investigated.
منابع مشابه
Difference sequence spaces derived by using a generalized weighted mean
In this study, we define the spaces fs(u, v,4), f(u, v,4) and f0(u, v,4) that consist of all sequence whose G(u, v,4)− transforms are in the set of almost convergent sequence and series spaces. Some topological properties of the new almost convergent sets have been investigated as well as γand β-duals of the spaces f(u, v,4) and fs(u, v,4). Also, the characterization of certain matrix classes o...
متن کاملDifference Sequence Spaces Derived by Generalized Weighted Mean
In this talk, our purpose is to introduce new sequence spaces by combining the generalized weighted mean and difference operator. Because of we use the matrix domain in this study, our new sequence spaces include some of the works in the literature. Our talk consist of three sections. In the fist section, we will give some topological properties which are completeness, AK-property, ADproperty. ...
متن کاملSome inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also...
متن کاملSome Results concerning Riesz Bases and Frames in Banach Spaces
In this paper, we give characterizations of Riesz bases and near Riesz bases in Banach spaces. The notion of atomic system is defined and a characterization of atomic system has been given. Also results exhibiting relationship between frames, atomic systems and Riesz bases have been proved. Further, we show that every atomic system is a projection of a Riesz basis in Banach spaces. Finally, we ...
متن کاملSome Ideal Convergent Sequence Spaces of Fuzzy Real Numbers
The concept of fuzzy sets was initially introduced by Zadeh[6]. It has a wide range of application in almost all branches of study, in particular in science, where mathematics is used. Now the notion of fuzzyness is used by many researcher in cybernetics, artificial intelligence, expert systems and fuzzy control, pattern recognition, operation research, decision making, image analysis, projecti...
متن کاملMean-Field Limits for Some Riesz Interaction Gradient Flows
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 38
شماره 1 2014
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023