具有固定{1，φ}和{1，φ2}的线性正算子的函数逼近

Pub Date : 2020-12-01 DOI:10.2478/auom-2020-0045

F. Usta

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引用次数: 4

摘要

摘要本文给出了有界区间和无界区间上的线性算子和正算子，它们固定了函数集{1，φ}和{1，φ2}，使得φ∈C[0,1]。然后通过选择不同的函数和值，给出了不同类型的操作符。最后，给出了新定义的线性和正算子序列的Voronovskaya型定理。

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Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2}

Abstract In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0, 1] are presented. Then we present different types of operators by choosing different functions and values. Finally, Voronovskaya type theorems are given for this newly defined sequences of linear and positive operators.

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