Approximation by phillips type q-Bernstein operators on square and error bounds

被引：0
|
作者：
Khan, Asif [1 ]
Iliyas, Mohammad [1 ]
Arif, Mohd [1 ,2 ]
Mursaleen, M. [1 ,3 ]
Lone, Mudassir Rashid [1 ,2 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Baba Ghulam Shah Badshah Univ, Dept Math Sci, Rajouri 185234, India
[3] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 01期
关键词：
Phillips type q-Bernstein operators; Square with one and two curved sides; Product operators; Boolean sum operators; Peano's theorem; Error estimation;
D O I：
10.1007/s41478-022-00461-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper Phillips type Bernstein operators (B(k,q)(s)f)(s, t), (B(l,q)(t)f)(s, t), their product and Boolean sum based on q-integer have been introduced on square with one and two curved side. Their interpolation properties, order of accuracy and remainders of the approximation formula for corresponding operators using modulus of continuity and Peano's theorem have been investigated.
引用
收藏
页码：569 / 589
页数：21
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