Results 251 to 260 of about 75,293 (284)

Rates of Ideal Convergence for Approximation Operators

open access: yesMediterranean Journal of Mathematics, 2010
This paper presents some convergence results on the Korovkin-type approximation theory when the notion of \({\mathcal I}\)-convergence is used, where \({\mathcal I}\) is an ideal in \(\mathbb N\) such that \(\{n\}\in{\mathcal I}\), \(n\in\mathbb N\). This new type of convergence was introduced by \textit{P. Kostyrko, T. Šalát} and \textit{W. Wilczynski}
Duman, Oktay   +2 more
openaire   +5 more sources

More about the kernel convergence and the ideal convergence

Acta Mathematica Sinica, English Series, 2012
Let \(\mathcal{I}\) be a proper ideal of subsets of \(\mathbb{N}\) and let \(p:\ell_{\infty}\rightarrow\mathbb{R}\) a seminorm with \(p\left( \chi_{\mathbb{N}}\right) =\sup\left\{ p\left( t\right) :\left\| t\right\| _{\infty}\leq1\right\} \). A sequence \(\left( x_{n}\right) \) of points of a real Banach space \(X\) is said to be\newline1) \(\mathcal{I}
Zhou, Xian Geng, Zhang, Min
exaly   +2 more sources

A Tauberian theorem for ideal statistical convergence

open access: yesIndagationes Mathematicae, 2020
Given an ideal I on the positive integers, a real sequence (xn) is said to be I-statistically convergent to l provided that n∈N:[Formula presented]|{k≤n:xk∉U}|≥ε∈Ifor all neighborhoods U of l and all ε>0. First, we show that I-statistical convergence
Marek Balcerzak, Paolo Leonetti
exaly   +2 more sources

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