Results 261 to 270 of about 4,109,953 (303)
The Arzelà–Ascoli theorem by means of ideal convergence
Georgian Mathematical Journal, 2018 In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences of functions defined on a set ...
E. Taş, T. Yurdakadim
semanticscholar +3 more sources
Ideal Convergence and Divergence of Nets in (ℓ)-Groups [PDF]
Czechoslovak Mathematical Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xenofon Dimitriou, Antonio Boccuto
exaly +4 more sources
Ideal convergence of sequences in neutrosophic normed spaces [PDF]
Journal of Intelligent & Fuzzy Systems, 2021 Statistical convergence of sequences has been studied in neutrosophic normed spaces (NNS) by Kirisci and Simsek [39]. Ideal convergence is more general than statistical convergence for sequences.
Ö. Kişi
semanticscholar +2 more sources
Journal of Mathematical Analysis and Applications, 2017 Ideal coconvergence is a generalization of statistical convergence, introduced by Fast and Steinhaus [\textit{H. Fast}, Colloq. Math. 2, 241--244 (1951; Zbl 0044.33605)] and \textit{I. J. Schoenberg} [Am. Math. Mon. 66, 361--375, 562--563 (1959; Zbl 0089.04002)], having applications in number theory, functional analysis and measure theory, among others.
Marcin Staniszewski
exaly +4 more sources
A Tauberian Theorem for Ideal Statistical Convergence
Indagationes 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
Paolo Leonetti, Marek Balcerzak
exaly +2 more sources