Remarks on several types of convergence of bounded sequences

Vladimír Baláž; Oto Strauch; Tibor Šalát

Acta Mathematica Universitatis Ostraviensis (2006)

  • Volume: 14, Issue: 1, page 3-12
  • ISSN: 1804-1388

Abstract

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In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, ℐ u -convergence, ϕ -convergence, almost convergence, strong p -Cesàro convergence and uniformly strong p -Cesàro convergence.

How to cite

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Baláž, Vladimír, Strauch, Oto, and Šalát, Tibor. "Remarks on several types of convergence of bounded sequences." Acta Mathematica Universitatis Ostraviensis 14.1 (2006): 3-12. <http://eudml.org/doc/35155>.

@article{Baláž2006,
abstract = {In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, $\{\mathcal \{I\}\}_u$-convergence, $\varphi $-convergence, almost convergence, strong $p$-Cesàro convergence and uniformly strong $p$-Cesàro convergence.},
author = {Baláž, Vladimír, Strauch, Oto, Šalát, Tibor},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {sequence; statistical convergence; $\{\mathcal \{I\}\}$-convergence; almost convergence; Cesàro convergence; uniform convergence; Euler function; prime number; $\varphi $-convergence; sequence; statistical convergence; -convergence; almost convergence; Cesàro convergence; uniform convergence; Euler function; prime number; -convergence},
language = {eng},
number = {1},
pages = {3-12},
publisher = {University of Ostrava},
title = {Remarks on several types of convergence of bounded sequences},
url = {http://eudml.org/doc/35155},
volume = {14},
year = {2006},
}

TY - JOUR
AU - Baláž, Vladimír
AU - Strauch, Oto
AU - Šalát, Tibor
TI - Remarks on several types of convergence of bounded sequences
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2006
PB - University of Ostrava
VL - 14
IS - 1
SP - 3
EP - 12
AB - In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, ${\mathcal {I}}_u$-convergence, $\varphi $-convergence, almost convergence, strong $p$-Cesàro convergence and uniformly strong $p$-Cesàro convergence.
LA - eng
KW - sequence; statistical convergence; ${\mathcal {I}}$-convergence; almost convergence; Cesàro convergence; uniform convergence; Euler function; prime number; $\varphi $-convergence; sequence; statistical convergence; -convergence; almost convergence; Cesàro convergence; uniform convergence; Euler function; prime number; -convergence
UR - http://eudml.org/doc/35155
ER -

References

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