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Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators
In the current paper, we examine the [Formula: see text] -analogue of Kantorovich type Lupaş–Schurer operators with the help of [Formula: see text] -Jackson integral. Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz cl...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182429/ https://www.ncbi.nlm.nih.gov/pubmed/30363786 http://dx.doi.org/10.1186/s13660-018-1858-9 |
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author | Kanat, Kadir Sofyalıoğlu, Melek |
author_facet | Kanat, Kadir Sofyalıoğlu, Melek |
author_sort | Kanat, Kadir |
collection | PubMed |
description | In the current paper, we examine the [Formula: see text] -analogue of Kantorovich type Lupaş–Schurer operators with the help of [Formula: see text] -Jackson integral. Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetre’s K-functionals based on Korovkin theorem. Moreover, we illustrate the approximation of the [Formula: see text] -Lupaş–Schurer–Kantorovich operators to appointed functions by the help of Matlab algorithm and then show the comparison of the convergence of these operators with Lupaş–Schurer operators based on [Formula: see text] -integers. |
format | Online Article Text |
id | pubmed-6182429 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-61824292018-10-22 Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators Kanat, Kadir Sofyalıoğlu, Melek J Inequal Appl Research In the current paper, we examine the [Formula: see text] -analogue of Kantorovich type Lupaş–Schurer operators with the help of [Formula: see text] -Jackson integral. Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetre’s K-functionals based on Korovkin theorem. Moreover, we illustrate the approximation of the [Formula: see text] -Lupaş–Schurer–Kantorovich operators to appointed functions by the help of Matlab algorithm and then show the comparison of the convergence of these operators with Lupaş–Schurer operators based on [Formula: see text] -integers. Springer International Publishing 2018-09-26 2018 /pmc/articles/PMC6182429/ /pubmed/30363786 http://dx.doi.org/10.1186/s13660-018-1858-9 Text en © The Author(s) 2018 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 Kanat, Kadir Sofyalıoğlu, Melek Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators |
title | Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators |
title_full | Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators |
title_fullStr | Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators |
title_full_unstemmed | Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators |
title_short | Approximation by [Formula: see text] -Lupaş–Schurer–Kantorovich operators |
title_sort | approximation by [formula: see text] -lupaş–schurer–kantorovich operators |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182429/ https://www.ncbi.nlm.nih.gov/pubmed/30363786 http://dx.doi.org/10.1186/s13660-018-1858-9 |
work_keys_str_mv | AT kanatkadir approximationbyformulaseetextlupasschurerkantorovichoperators AT sofyalıoglumelek approximationbyformulaseetextlupasschurerkantorovichoperators |