Approximation behavior of parametrically generalized Baskakov-Stancu operators

被引：0
作者：
Sonker, Smita [1 ,2 ]
Moond, Priyanka [1 ]
机构：
[1] Natl Inst Technol Kurukshetra, Dept Math, Kurukshetra 136119, Haryana, India
[2] Jawaharlal Nehru Univ, Sch Phys Sci, New Delhi 110067, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2025年 / 74卷 / 01期
关键词：
Baskakov operators; Unified Ditzian Totik modulus; Weighted modulus of continuity; Statistical convergence; STATISTICAL APPROXIMATION;
D O I：
10.1007/s12215-024-01137-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we consider Stancu variant of a parametrically generalized Baskakov operator. We discuss the error of appoximation of these operators by means of unified Ditzian Totik modulus of smoothness and various moduli of continuity like modulus of continuity of second order and weighted modulus of continuity. Also, we study the statistical convergence of newly defined operators. Some numerical examples illustrating the error functions for varying Stancu parameters and the approximation by proposed operators are also given using MATLAB programming.
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页数：17
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