Almost convergence and generalized weighted mean II
نویسندگان
چکیده
منابع مشابه
almost convergence through the generalized de la vallée-poussin mean
lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.
متن کاملWeighted almost convergence and related infinite matrices
The purpose of this paper is to introduce the notion of weighted almost convergence of a sequence and prove that this sequence endowed with the sup-norm [Formula: see text] is a BK-space. We also define the notions of weighted almost conservative and regular matrices and obtain necessary and sufficient conditions for these matrix classes. Moreover, we define a weighted almost A-summable sequenc...
متن کاملAlmost convergence and generalized difference matrix
Let f denotes the space of almost convergent sequences, and f̂ also be the domain of the generalized di erence matrix B(r, s) in the sequence space f . The present paper is devoted to studing on the sequence spaces f̂ and f̂ s. Furthermore, the βand γ-duals of the space f̂ are determined. Finally, the classes (f̂ : μ) and (μ : f̂) of in nite matrices are characterized and the characterizations of som...
متن کاملMean and Almost Everywhere Convergence of Fourier-neumann Series
Let Jμ denote the Bessel function of order μ. The functions xJα+β+2n+1(x 1/2), n = 0, 1, 2, . . . , form an orthogonal system in L2((0,∞), xα+βdx) when α+ β > −1. In this paper we analyze the range of p, α and β for which the Fourier series with respect to this system converges in the Lp((0,∞), xαdx)-norm. Also, we describe the space in which the span of the system is dense and we show some of ...
متن کاملThe Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
In this paper, we generalize a theorem of Shao [12] by assuming that is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero as where and is an array of...
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: Journal of Inequalities and Applications
سال: 2014
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2014-93