On some statistical approximation by (p, q)-Bleimann, Butzer and Hahn Operators
Author | AnsariK.J. |
Author | AhmadI. |
Author | MursaleenM. |
Author | HussainI. |
Available date | 2019-10-03T10:50:04Z |
Publication Date | 2018 |
Publication Name | Symmetry |
Resource | Scopus |
ISSN | 20738994 |
Abstract | In this article, we propose a different generalization of (p, q)-BBH operators and carry statistical approximation properties of the introduced operators towards a function which has to be approximated where (p, q)-integers contains symmetric property. We establish a Korovkin approximation theorem in the statistical sense and obtain the statistical rates of convergence. Furthermore, we also introduce a bivariate extension of proposed operators and carry many statistical approximation results. The extra parameter p plays an important role to symmetrize the q-BBH operators. |
Sponsor | Funding: The authors extend their appreciation to the Dean ship of Scientific Research at King Khalid University for funding this workthrough researchgroups programunder Grant No.G.R.P-36-39. |
Language | en |
Publisher | MDPIAG |
Subject | q)-Bernsteinoperators q)-integers K-functional Modulusofcontinuity Rateofapproximation |
Type | Article |
Issue Number | 12 |
Volume Number | 10 |
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Mathematics, Statistics & Physics [736 items ]