Modified (p,q)-Bernstein-Schurer operators and their approximation properties

Modified (p,q)-Bernstein-Schurer operators and their approximation properties

In this paper, we introduce modified (p, q)-Bernstein–Schurer operators and discuss their statistical approximation properties based on Korovkins type approximation theorem. We compute the rate of convergence and also prove a Voronovskaja-type theorem.

Bibliographic Details
Main Authors: M. Mursaleen, A. Al-Abied, Md. Nasiruzzaman
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
q-integers
(p
q)-integers
Bernstein operator
q)-Bernstein operator
q)-Bernstein–Schurer operator
modulus of continuity
Korovkins approximation theorem
Online Access:http://dx.doi.org/10.1080/23311835.2016.1236534
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spelling doaj-6dd29c907e044ff381443d467b64df932020-11-24T21:14:46ZengTaylor & Francis GroupCogent Mathematics2331-18352016-12-013110.1080/23311835.2016.12365341236534Modified (p,q)-Bernstein-Schurer operators and their approximation propertiesM. Mursaleen0A. Al-Abied1Md. Nasiruzzaman2Aligarh Muslim UniversityAligarh Muslim UniversityAligarh Muslim UniversityIn this paper, we introduce modified (p, q)-Bernstein–Schurer operators and discuss their statistical approximation properties based on Korovkins type approximation theorem. We compute the rate of convergence and also prove a Voronovskaja-type theorem.http://dx.doi.org/10.1080/23311835.2016.1236534q-integers(pq)-integersBernstein operator(pq)-Bernstein operator(pq)-Bernstein–Schurer operatormodulus of continuityKorovkins approximation theorem
collection DOAJ
language English
format Article
sources DOAJ
author M. Mursaleen
A. Al-Abied
Md. Nasiruzzaman
spellingShingle M. Mursaleen
A. Al-Abied
Md. Nasiruzzaman
Modified (p,q)-Bernstein-Schurer operators and their approximation properties
Cogent Mathematics
q-integers
(p
q)-integers
Bernstein operator
(p
q)-Bernstein operator
(p
q)-Bernstein–Schurer operator
modulus of continuity
Korovkins approximation theorem
author_facet M. Mursaleen
A. Al-Abied
Md. Nasiruzzaman
author_sort M. Mursaleen
title Modified (p,q)-Bernstein-Schurer operators and their approximation properties
title_short Modified (p,q)-Bernstein-Schurer operators and their approximation properties
title_full Modified (p,q)-Bernstein-Schurer operators and their approximation properties
title_fullStr Modified (p,q)-Bernstein-Schurer operators and their approximation properties
title_full_unstemmed Modified (p,q)-Bernstein-Schurer operators and their approximation properties
title_sort modified (p,q)-bernstein-schurer operators and their approximation properties
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2016-12-01
description In this paper, we introduce modified (p, q)-Bernstein–Schurer operators and discuss their statistical approximation properties based on Korovkins type approximation theorem. We compute the rate of convergence and also prove a Voronovskaja-type theorem.
topic q-integers
(p
q)-integers
Bernstein operator
(p
q)-Bernstein operator
(p
q)-Bernstein–Schurer operator
modulus of continuity
Korovkins approximation theorem
url http://dx.doi.org/10.1080/23311835.2016.1236534
work_keys_str_mv AT mmursaleen modifiedpqbernsteinschureroperatorsandtheirapproximationproperties
AT aalabied modifiedpqbernsteinschureroperatorsandtheirapproximationproperties
AT mdnasiruzzaman modifiedpqbernsteinschureroperatorsandtheirapproximationproperties
_version_ 1716746203522138112

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