Fibonacci statistical convergence and Korovkin type approximation theorems

The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacc...

Descripción completa

Detalles Bibliográficos
Autores principales: Kirişci, Murat, Karaisa, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5605658/
https://www.ncbi.nlm.nih.gov/pubmed/28989257
http://dx.doi.org/10.1186/s13660-017-1503-z
_version_ 1783265025790574592
author Kirişci, Murat
Karaisa, Ali
author_facet Kirişci, Murat
Karaisa, Ali
author_sort Kirişci, Murat
collection PubMed
description The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.
format Online
Article
Text
id pubmed-5605658
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-56056582017-10-04 Fibonacci statistical convergence and Korovkin type approximation theorems Kirişci, Murat Karaisa, Ali J Inequal Appl Research The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence. Springer International Publishing 2017-09-19 2017 /pmc/articles/PMC5605658/ /pubmed/28989257 http://dx.doi.org/10.1186/s13660-017-1503-z Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kirişci, Murat
Karaisa, Ali
Fibonacci statistical convergence and Korovkin type approximation theorems
title Fibonacci statistical convergence and Korovkin type approximation theorems
title_full Fibonacci statistical convergence and Korovkin type approximation theorems
title_fullStr Fibonacci statistical convergence and Korovkin type approximation theorems
title_full_unstemmed Fibonacci statistical convergence and Korovkin type approximation theorems
title_short Fibonacci statistical convergence and Korovkin type approximation theorems
title_sort fibonacci statistical convergence and korovkin type approximation theorems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5605658/
https://www.ncbi.nlm.nih.gov/pubmed/28989257
http://dx.doi.org/10.1186/s13660-017-1503-z
work_keys_str_mv AT kiriscimurat fibonaccistatisticalconvergenceandkorovkintypeapproximationtheorems
AT karaisaali fibonaccistatisticalconvergenceandkorovkintypeapproximationtheorems

Ejemplares similares