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Quadratic function preserving wavelet type Baskakov operators for enhanced function approximation

delete2025-08-04
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M. Mursaleen *
DOI:10.1007/s40314-025-03357-xdelete
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摘要

摘要

En 中文
本研究介绍了小波增强的King型Baskakov算子的开发,这些算子能够保持二次检验函数。我们得到了这些算子矩量的显式公式,并通过Korovkin型定理展示了逼近结果。使用连续性模、Lipschitz空间和统计逼近来衡量收敛速率,展示了改进的收敛特性。通过直接逼近定理建立了定量的误差边界,数值验证表明,对于振荡函数,误差减少了20%至50%。
Keyword:
Baskakov polynomials
Wavelet approximation
Modulus of continuity
Korovkin theorem
Polynomial operators

期刊

Applied and Computational Mathematics 封面图
Applied and Computational Mathematics
IF:
4.3
论文数:
354
被引数:
593

机构

F
Faculty of Sciences
学者数:
1.6K
论文数: 714
被引数: 0
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引用论文

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