Bezier variant of Bernstein-Durrmeyer blending-type operators

被引：1
作者：
Prakash, Chandra [1 ]
Deo, Naokant [1 ]
Verma, D. K. [2 ]
机构：
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
[2] Univ Delhi, Dept Math, Miranda House, Delhi 110007, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 06期
关键词：
Bezier operators; Lipschitz-type space; modulus of continuity; rate of convergence; LOCAL APPROXIMATION; CONVERGENCE;
D O I：
10.1142/S1793557122501030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct the Bezier variant of the Bernstein-Durrmeyer-type operators. First, we estimated the moments for these operators. In the next section, we found the rate of approximation of operators R-n, r, s((rho,) (alpha)) (f; x) using the Lipschitz-type function and in terms of Ditzian-Totik modulus of continuity. The rate of convergence for functions having derivatives of bounded variation is discussed. Finally, the graphical representation of the theoretical results and the effectiveness of the defined operators are given.
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页数：17
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