In this paper we consider a general class of linear positive processes of integral type. These operators act on functions defined on unbounded interval. Among the particular cases included are Durrmeyer–Jain operators, Păltănea–Szász–Mirakjan operators and operators using Baskakov–Szász type bases. We focus on highlighting some approximation targeting different classes of functions. The main working tools are Bohman–Korovkin theorem, weighted K-functionals and moduli of smoothness.

中文翻译：

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一类整数类型算子的逼近性质

在本文中，我们考虑一类整体的线性正过程。这些运算符作用于在无界间隔上定义的函数。其中包括Durrmeyer–Jain运算符，Păltănea–Szász–Mirakjan运算符以及使用Baskakov–Szász类型基的运算符。我们专注于突出一些针对不同类别函数的近似值。主要工作工具是Bohman–Korovkin定理，加权K函数和光滑度模量。