On lacunary invariant sequence spaces defined by a sequence of modulus functions
نویسندگان
چکیده
The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of lacunary convergence, invariant mean and the sequence of modulus functions We also examine some topological properties of these spaces.
منابع مشابه
Some multiplier lacunary sequence spaces defined by a sequence of modulus functions
In the present paper we introduce some multiplier sequence spaces defined by a sequence of modulus functions F = (fk). We also make an effort to study some topological properties and inclusion relations between these spaces.
متن کاملOn 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 کاملVector Valued multiple of $chi^{2}$ over $p$-metric sequence spaces defined by Musielak
In this article, we define the vector valued multiple of $chi^{2}$ over $p$-metric sequence spaces defined by Musielak and study some of their topological properties and some inclusion results.
متن کاملApproximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solutio...
متن کاملLacunary strong A-convergence with respect to a sequence of modulus functions
The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 156 شماره
صفحات -
تاریخ انتشار 2004