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Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators


Citation

Kilicman, Adem and Mishra, Vishnu Narayan and Sharma, Preeti and Jain, Dilip (2016) Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators. Filomat, 30 (7). pp. 1853-1868. ISSN 0354-5180; ESSN: 2406-0933

Abstract

In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type function are also established for said operators. Finally, we construct a bivariate generalization of the operator and also obtain the statistical approximation properties.


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Additional Metadata

Item Type: Article
Subject: Statistical approximation properties; Stancu type; q-Baskakov-Kantorovich operators
Divisions: Faculty of Science
DOI Number: https://doi.org/10.2298 / FIL1607853M
Publisher: Faculty of Sciences and Mathematics, University of Nis
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 20 Feb 2018 01:55
Last Modified: 20 Feb 2018 01:55
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.2298 / FIL1607853M
URI: http://psasir.upm.edu.my/id/eprint/53887
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