Rate of Approximation for Modified Lupaş-Jain-Beta Operators

The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1. Primarily, for the sequence of operators, the convergence is discussed for functions belong to...

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Bibliographic Details
Published in:Journal of function spaces 2020, Vol.2020 (2020), p.1-7
Main Authors: Raina, Princess, Abbas, Zaheer, Khan, Asif, Qasim, M., Cai, Qing-Bo
Format: Article
Language:English
Subjects:
Approximation
Basis functions
Construction
Convergence
Equality
Mathematical analysis
Mathematical functions
Operators
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Summary:The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1. Primarily, for the sequence of operators, the convergence is discussed for functions belong to weighted spaces. Further, to prove pointwise convergence Voronovskaya type theorem is taken into consideration. Finally, quantitative estimates for the local approximation are discussed.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/5090282