Treffer: On statistical approximation properties of Kantorovich type q-Bernstein operators
Title:
On statistical approximation properties of Kantorovich type q-Bernstein operators
Authors:
Source:
Mathematical and computer modelling. 52(5-6):760-771
Publisher Information:
Kidlington: Elsevier, 2010.
Publication Year:
2010
Physical Description:
print, 32 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Analyse mathématique, Mathematical analysis, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Analyse assistée, Computer aided analysis, Análisis asistido, Approximation, Aproximación, Convergence, Convergencia, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle mathématique, Mathematical model, Modelo matemático, Nombre entier, Integer, Entero, Ordre approximation, Approximation order, Orden aproximación, 05A30, q calcul, q calculus, Kantorovich type operators, Korovkin theorem, Lipschitz class, Modulus of continuity, Statistical convergence, q-integers
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Ankara University, Graduate School of Natural and Applied Sciences, Department of Mathematics, Tandogan, 06100, Ankara, Turkey
Gazi University, Faculty of Sciences and Arts, Department of Mathematics, Teknik Okullar 06500, Ankara, Turkey
Gazi University, Faculty of Sciences and Arts, Department of Mathematics, Teknik Okullar 06500, Ankara, Turkey
ISSN:
0895-7177
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.23054354
Database:
PASCAL Archive
Weitere Informationen
In this study a new Kantorovich type generalization of q-Bernstein operators is introduced with the help of some recent studies on q-calculus. Then the statistical Korovkin type approximation properties of these operators are investigated. Finally, the order of statistical approximation is examined by means of modulus of continuity and with the help of the elements of Lipschitz class.