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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10548
Title: q- Lupas Kantorovich operators based on Polya distribution
Authors: Agrawal P.N.
Gupta P.
Published in: Annali dell'Universita di Ferrara
Abstract: The purpose of the present paper is to introduce a Kantorovich modification of the q-analogue of the Stancu operators defined by Nowak (J Math Anal Appl 350:50–55, 2009). We study a local and a direct approximation theorem by means of the Ditzian–Totik modulus of smoothness. Further A-statistical convergence properties of these operators are investigated. Next, a bivariate generalization of these operators is introduced and its rate of convergence is discussed with the aid of the partial and complete modulus of continuity and the Peetre‘s K-functional. © 2017, Università degli Studi di Ferrara.
Citation: Annali dell'Universita di Ferrara (2018), 64(1): -
URI: https://doi.org/10.1007/s11565-017-0291-1
http://repository.iitr.ac.in/handle/123456789/10548
Issue Date: 2018
Publisher: Springer-Verlag Italia s.r.l.
Keywords: A-statistical convergence
Degree of approximation
Modulus of continuity
Peetre‘s K-functional
ISSN: 4303202
Author Scopus IDs: 15135210300
57194700797
Author Affiliations: Agrawal, P.N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Gupta, P., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Funding Details: Acknowledgements The second author is thankful to the “Ministry of Human Resource and Development†, New Delhi, India for financial support to carry out the above work.
Corresponding Author: Agrawal, P.N.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: pnappfma@gmail.com
Appears in Collections:Journal Publications [MA]

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