Journal of inequalities and applications | |
Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials | |
Tarul Garg1  | |
关键词: Brenke type polynomials; Szász operator; Ditzian-Totik modulus of smoothness; derivative of bounded variation; Peetre’s K-functional; rate of convergence; 41A10; 41A25; 41A36; | |
DOI : 10.1186/s13660-017-1430-z | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials. We investigate the order of convergence by using Peetre’s K-functional and the Ditzian-Totik modulus of smoothness and study the degree of approximation of the univariate operators for continuous functions in a Lipschitz space, a Lipschitz type maximal function and a weighted space. The rate of approximation of functions having derivatives equivalent with a function of bounded variation is also obtained.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201902011068180ZK.pdf | 1514KB | download |