It is well-known that Lupaş operators are not exponential type operators, although they preserve linear functions. The differential operator is not applicable to estimate nice representation between Lupaş operators and its Kantorovich variant. In the present paper we use finite difference method viz. backward differences to estimate the recurrence relation for moments of the Lupaş operators. We introduce higher order Lupaş-Kantorovich operators and estimate some direct results.

中文翻译：

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高阶Lupaş-Kantorovich算子和有限差分

众所周知，尽管Lupaş运算符保留了线性函数，但它们不是指数类型的运算符。微分算子不适用于估计Lupaş算子及其Kantorovich变体之间的近似表示。在本文中，我们使用有限差分法。向后差异来估计卢帕斯算子矩的递归关系。我们引入了高阶Lupaş-Kantorovich算子，并估计了一些直接结果。