In this study, Neutrophic normed spaces, which is one of the popular mathematics topics recent times, discussed. The Neutrosophic approach, argues that it insufficient to evaluate problems in daily life as just right and wrong, based on principle degree indecision should be taken into account. Now, rough statistical convergence triple sequences defined spaces. Moreover, important topological pr...

Abstract A remarkable result on summability states that the statistical convergence and strong Cesàro are closely connected. Given a modulus function f , we will establish double sequence is -strong convergent always -statistically convergent. The converse, in general, false even for bounded sequences. However, characterize analytically functions which converse of this remains true. results pap...

The purpose of this paper is to assess the statistical characterization of weighted networks in terms of the generalization of the relevant parameters, namely, average path length, degree distribution, and clustering coefficient. Although the degree distribution and the average path length admit straightforward generalizations, for the clustering coefficient several different definitions have b...

While kernel canonical correlation analysis (kernel CCA) has been applied in many problems, the asymptotic convergence of the functions estimated from a finite sample to the true functions has not yet been established. This paper gives a rigorous proof of the statistical convergence of kernel CCA and a related method (NOCCO), which provides a theoretical justification for these methods. The res...

We consider subsequence versions of weighted ergodic theorems, and show that for a wide class of subsequences along which a.e. convergence of Cesaro averages has been established, we also have a.e. convergence for the subsequence Cesaro weighted averages, when the weights are obtained from uniform sequences produced by a connected apparatus.

We investigate weighted L p mean convergence of Grünwald interpolation operators based on the zeros of orthogonal polynomials with respect to a general weight and generalized Jacobi weights. We give necessary and sufficient conditions for such convergence for all continuous functions. 1. Introduction. In this paper, we study weighted L p (0 < p < ∞) mean con

In the present research article, we construct a new family of summation-integral type hybrid operators in terms shape parameter ? [0, 1]. Further, basic estimates, rate convergence and order approximation with aid Korovkin theorem modulus smoothness are investigated. Moreover, numerical simulation graphical approximations studied. For these sequences positive linear operators, study local resul...

In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of [Formula: see text], further [Formula: see text], [Formula: see text] ([Formula: see text] is a slow varying and monotone nondecreasing function). As an application, the Baum-Katz type...