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...

0. Systems theory I. Part 1: Convergence A. Two approaches to convergence B. A mathematical formulation of convergence C. Convergence is a Markov process D. Starting configuration doesn’t matter II. Part 2: Analysis A. Background and mathematical foundation 1. Stochastic matrices 2. The Eigenvalue problem 3. Spectral Decomposition 4. Spectral Decomposition of M B. The Algebraic View 1. Partitio...

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...

objective: this study was designed to compare the stress produced at the pdl of abutment teeth with two angles of cervical convergence, in otherwise similar settings. materials and methods: two finite element models were designed for a second premolar and a removable partial denture frame containing an i-bar clasp. maximum principal stress (s1) and von mises stress (seqv) were assessed along a ...

In this paper we investigate the notion of I-statistical ϕ-convergence and introduce IS-ϕ limit points cluster real number sequence also studied some its basic properties.