Simultaneous Approximation Properties of q-Modified Beta Operators

被引:0
|
作者
Gairola, Asha Ram [1 ]
Dobhal, Girish [1 ]
Singh, Karunesh Kumar [2 ]
机构
[1] Univ Petr & Energy Studies, Dehra Dun, Uttar Pradesh, India
[2] Govt Polytech, Rampur, India
关键词
q-Modified beta operator; q-integers; Rate of approximation; Modulus of smoothness; Convergence; Q-BERNSTEIN POLYNOMIALS; CONVERGENCE; SATURATION;
D O I
10.1007/978-81-322-2485-3_13
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish some approximation properties in simultaneous approximation for a q-analogue of the q-modified Beta operators B-n(q) (f, x) introduced by Gupta and Kim. The convergence properties of the q-derivatives of these operators are discussed. Using the estimates for q-moments, the rate of approximation in simultaneous approximation is obtained in terms of modulus of continuity.
引用
收藏
页码:169 / 184
页数:16
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