In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence.

中文翻译：

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修正的Meyer–König和Zeller算子通过幂级数求和方法的逼近

在本文中，我们通过A统计收敛和幂级数可积性方法研究了修正的Meyer–König和Zeller算子的Korovkin型定理。这种新的可累加方法的收敛速度也可以通过连续模数获得。此外，我们建立了A统计收敛的Voronovskaya型和Grüss–Voronovskaya型定理。