On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied, a convergence theorem for the Lipschitz continuous functions is also obtained.
Finally, some numerical examples are given to show that these operators we defined converge faster in some λ cases than Durrmeyer type (p, q)-Bernstein operators.
American Psychological Association (APA)
Cai, Qing-Bo& Zhou, Guorong. 2020. On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1185960
Modern Language Association (MLA)
Cai, Qing-Bo& Zhou, Guorong. On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus. Journal of Function Spaces No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1185960
American Medical Association (AMA)
Cai, Qing-Bo& Zhou, Guorong. On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1185960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185960