Section of Euler summability method.
Sobre c-dualidad y espacios c-perfectos.
Sobre sumabilidad Cesáro en el espacio CS (I).
Soma Estimates of the H...-Uniform Distribution.
Some absolutely effective product methods.
Some analogues of Knopp's core theorem.
Some generalisations on a scale of Abel type summability methods
Some inclusion theorems for absolute summability
Some properties of Riesz means and spectral expansions. (With an appendix by R. A. Gustafson).
Some remarks on strong approximation by Cesàro means
Some Tauberian theorems for Euler and Borel summability.
Some Tauberian Theorems for the Circle Family of Summability Methods.
Some Tauberian theorems on summability methods of integrals
Sommation effective d’une somme de Borel par séries de factorielles
Nous abordons dans cet article la question de la sommation effective d’une somme de Borel d’une série par la série de factorielles associée. Notre approche fournit un contrôle de l’erreur entre la somme de Borel recherchée et les sommes partielles de la série de factorielles. Nous généralisons ensuite cette méthode au cadre des séries de puissances fractionnaires, après avoir démontré un analogue d’un théorème de Nevanlinna de sommation de Borel fine pour ce cadre.
Spaces not distinguishing pointwise and -quasinormal convergence
In this paper we extend the notion of quasinormal convergence via ideals and consider the notion of -quasinormal convergence. We then introduce the notion of space as a topological space in which every sequence of continuous real valued functions pointwise converging to , is also -quasinormally convergent to (has a subsequence which is -quasinormally convergent to ) and make certain observations on those spaces.
Spectral decompositions, ergodic averages, and the Hilbert transform
Let U be a trigonometrically well-bounded operator on a Banach space , and denote by the sequence of (C,2) weighted discrete ergodic averages of U, that is, . We show that this sequence of weighted ergodic averages converges in the strong operator topology to an idempotent operator whose range is x ∈ : Ux = x, and whose null space is the closure of (I - U). This result expands the scope of the traditional Ergodic Theorem, and thereby serves as a link between Banach space spectral theory and...
Spectral Riesz-Cesàro means: How the square root function helps us to see around the world.
Statistical convergence of Walsh-Fourier series.
Statistical extensions of some classical Tauberian theorems in nondiscrete setting
Schmidt’s classical Tauberian theorem says that if a sequence of real numbers is summable (C,1) to a finite limit and slowly decreasing, then it converges to the same limit. In this paper, we prove a nondiscrete version of Schmidt’s theorem in the setting of statistical summability (C,1) of real-valued functions that are slowly decreasing on ℝ ₊. We prove another Tauberian theorem in the case of complex-valued functions that are slowly oscillating on ℝ ₊. In the proofs we make use of two nondiscrete...
Statistically strongly regular matrices and some core theorems.