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A basic problem of $(p,q)$ -Bernstein-type operators.
- Source :
-
Journal of Inequalities & Applications . 6/17/2017, Vol. 2017 Issue 1, p1-7. 7p. - Publication Year :
- 2017
-
Abstract
- In this note, we give an elaboration of a basic problem on convergence theorem of $(p, q)$ -analogue of Bernstein-type operators. By some classical analysis techniques, we derive an exact class of $(p_{n},q_{n})$ -integer satisfying $\lim _{n\to\infty }[n]_{p_{n},q_{n}}=\infty$ with $\lim _{n\to\infty}p_{n}=1$ and $\lim _{n\to\infty}q_{n}=1$ under $0< q_{n}< p_{n}\leq1$ . Our results provide an erratum to corresponding results on $(p,q)$ -analogue of Bernstein-type operators that appeared in recent literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2017
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123652035
- Full Text :
- https://doi.org/10.1186/s13660-017-1413-0