两类King型算子一致逼近的误差估计
An Uniform Error Estimate for Two Kinds of King Type Operators
DOI: 10.12677/PM.2023.137225, PDF,    国家自然科学基金支持
作者: 黄婕妤, 董 惠：河北师范大学数学科学学院，河北 石家庄；齐秋兰*, 杨 戈：河北师范大学数学科学学院，河北 石家庄；河北省计算数学与应用重点实验室，河北 石家庄
关键词: King型算子；光滑模；一致逼近；误差估计；King Type Operators； Modulus of Smoothness； Uniform Approximation； Error Estimate
摘要: 本文借助C*[0, ∞)空间与C[0, 1]空间之间的变换，将C*[0, ∞)空间上的逼近问题转变到C[0, 1]空间上进行研究。应用一阶、二阶模，证明了两类保持函数1和e−μx (μ > 0)的King型算子一致逼近的误差估计。
Abstract: By means of a transformation between C*[0, ∞) and C[0, 1], the approximation problem in the space C*[0, ∞) can be reduced the same one in the space C[0, 1]. Using the first and second order moduli, we show a further uniform error estimate for two kinds of King-type operators which preserve 1 and e−μx (μ > 0).
文章引用：黄婕妤, 董惠, 齐秋兰, 杨戈. 两类King型算子一致逼近的误差估计[J]. 理论数学, 2023, 13(7): 2188-2199. https://doi.org/10.12677/PM.2023.137225

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