A -Statistical Convergence Properties of Kantorovich Type ? -Bernstein Operators Via ( p, q )-Calculus

Liang Zeng, Qing-Bo Cai and Xiao-Wei Xu
Additional contact information
Liang Zeng: School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Qing-Bo Cai: School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
Xiao-Wei Xu: School of Computer and Data Engineering, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China

Mathematics, 2020, vol. 8, issue 2, 1-14

Abstract: In the present paper, Kantorovich type λ -Bernstein operators via ( p , q )-calculus are constructed, and the first and second moments and central moments of these operators are estimated in order to achieve our main results. An A -statistical convergence theorem and the rate of A -statistical convergence theorems are obtained according to some analysis methods and the definitions of A -statistical convergence, the rate of A -statistical convergence and modulus of smoothness.

Keywords: A -statistical convergence; ? -Bernstein operators; ( p , q )-calculus; modulus of continuity; rate of convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/2/291/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/2/291/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:2:p:291-:d:323296

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().