The main object of this paper is to construct a new class of modified $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in the weighted spaces are given, and in the end, some shape-preserving properties are proven.

中文翻译：

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通过修改的 \((p,q)\)-gamma 类型运算符进行近似

本文的主要目的是构造一类新的修饰$(p,q)$-Gamma 型算子。对于这一类新的算子，在第一节中，找到一般矩；第二节通过考虑连续模和平滑模及其在 Lipschitz 型空间中的行为，证明了 Korovkin 型定理和一些直接结果。第三节给出了加权空间的一些结果，最后证明了一些保形性质。