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Some Approximation Properties of Modified Jain-Beta Operators
Joint Authors
Patel, Prashantkumar
Mishra, Vishnu Narayan
Source
Journal of Calculus of Variations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Generalization of Szász-Mirakyan operators has been considered by Jain, 1972.
Using these generalized operators, we introduce new sequences of positive linear operators which are the integral modification of the Jain operators having weight functions of some Beta basis function.
Approximation properties, the rate of convergence, weighted approximation theorem, and better approximation are investigated for these new operators.
At the end, we generalize Jain-Beta operator with three parameters α, β, and γ and discuss Voronovskaja asymptotic formula.
American Psychological Association (APA)
Mishra, Vishnu Narayan& Patel, Prashantkumar. 2013. Some Approximation Properties of Modified Jain-Beta Operators. Journal of Calculus of Variations،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-475655
Modern Language Association (MLA)
Mishra, Vishnu Narayan& Patel, Prashantkumar. Some Approximation Properties of Modified Jain-Beta Operators. Journal of Calculus of Variations No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-475655
American Medical Association (AMA)
Mishra, Vishnu Narayan& Patel, Prashantkumar. Some Approximation Properties of Modified Jain-Beta Operators. Journal of Calculus of Variations. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-475655
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475655