In this paper, we propose an efficient method to approximate bivariate functions by Szász–Mirakjan operators via Dunkl generalization. More precisely, we generalize the Dunkl formation of Szász–Mirakjan operators by introducing the exponential functions and obtain the approximation by means of well-known Korovkin’s theorem, modulus of continuity, Lipschitz functions and Peetre’s K-functional. Next, we also discuss approaches of approximation by the operators in space of Bögel continuous functions.

中文翻译：

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Szász–Mirakjan算子通过Dunkl类比的双变量函数的逼近性质

在本文中，我们提出了一种有效的方法，通过Dunkl泛化，由Szász-Mirakjan运算符逼近双变量函数。更准确地说，我们通过引入指数函数来概括Szász–Mirakjan算子的Dunkl形式，并通过著名的Korovkin定理，连续模量，Lipschitz函数和Peetre的K-函数获得逼近。接下来，我们还将讨论Bögel连续函数空间中算子的逼近方法。