ON SIMULTANEOUS APPROXIMATION AND COMBINATIONS OF LUPAS TYPE OPERATORS

被引：0

作者：

Sinha, T. A. K. ^{[1
]}

Singh, K. K. ^{[2
]}

Sharma, Avinash K. ^{[3
]}

机构：

[1] Patliputra Univ, Dept Math, Bodh Gaya 824234, Bihar, India

[2] Dr APJ Abdul Kalam Tech Univ, Inst Engn & Technol, Dept Appl Sci & Humanities, Lucknow 226021, Uttar Pradesh, India

[3] Magadh Univ, PG Dept Math, Bodh Gaya 824234, Bihar, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

Lupas operators; simultaneous approximation; modulus of continuity; Voronovskaja asymptotic formula; linear combinations; FAMILY;

D O I：

10.46793/KgJMat2404.619S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. The purpose of the present paper is to study a sequence of linear and positive operators which was introduced by A. Lupas. First, we obtain estimate of moments of the operators and then prove a basic convergence theorem for simultaneous approximation. Further, we find error in approximation in terms of modulus of continuity of function. Finally, we establish a Voronovskaja asymptotic formula for linear combination of the above operators.

引用

页码：619 / 627

页数：9

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