In the present paper, we discuss the approximation properties of certain link integral modification of Ismail–May operators. We point out here that the operators of Ismail–May can also be derived from the Jain operators. We also establish some direct convergence estimates including error, difference estimates and an asymptotic formula in simultaneous approximation. In the end, we indicate through graphical representation the convergence of polynomial function with the link operators.

中文翻译：

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链接 Ismail–May 运算符的近似值

在本文中，我们讨论了 Ismail-May 算子的某些链接积分修改的近似属性。我们在此指出 Ismail-May 的算子也可以从耆那教算子推导出来。我们还建立了一些直接收敛估计，包括误差、差估计和同时逼近的渐近公式。最后，我们通过图形表示指示多项式函数与链接算子的收敛性。