Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials

被引:0
作者
Raza, Nusrat [1 ]
Kumar, Manoj [2 ]
机构
[1] Aligarh Muslim Univ, Womens Coll, Math Sect, Aligarh, India
[2] Aligarh Muslim Univ, Dept Math, Aligarh, India
关键词
Sz & aacute; sz operators; Associated lambda-polynomials; Rate of convergence; Modulus of continuity; alpha beta-statistical convergence; Weighted approximation;
D O I
10.1186/s13660-024-03239-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article explores a Chlodowsky-type extension of the Kantorovich variant of Sz & aacute;sz operators based on the associated lambda-polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity and the Ditzian-Totik modulus of continuity. Additionally, the alpha beta-statistical convergence properties of the operators are derived. Additional approximation outcomes are also formulated within the context of the polynomial weighted space. Finally, the theoretical results are supported by numerical and graphical examples for different parameters.
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页数:19
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