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.

中文翻译：

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具有固定 {1, φ} 和 {1, φ2} 的线性正算子的函数逼近

摘要 在这篇手稿中，线性和正算子在有界和无界区间上描述，固定函数集 {1, φ} 和 {1, φ2} 使得 φ ∈ C[0, 1]。然后我们通过选择不同的函数和值来呈现不同类型的运算符。最后，为这个新定义的线性和正算子序列给出了 Voronovskaya 类型定理。