二元函数的线性positive operators逼近
Approximation of functions of two variables by certain linear positive operators
摘要：
引入了一类线性正算子，并研究了它们在二元紧集上连续函数空间中的逼近性质。我们还发现，通过使用连续模的阶的逼近。此外，我们还定义了这些算子的一个$r$阶推广，并观察了它的逼近性质。进一步，我们研究了二元函数加权空间中线性正算子的收敛性，并利用加权连续模得到了这种收敛速度。
英文摘要：
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an $r$th order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.
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