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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. [ABSTRACT FROM AUTHOR]

In this paper, we define a new kind of the μ -Bernstein–Schurer–Stancu operators. For these operators, we prove uniform convergence and study their behavior using consideration modulus of continuity and smoothness. Moreover, we present the Korovkin type theorem, Voronovskaya type theorem, and Grüss–Voronovskaya type theorems. [ABSTRACT FROM AUTHOR]

In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators. We also study the Voronovskaya-type theorem and weighted approximation. [ABSTRACT FROM AUTHOR]

In this paper, we study the Kantorovich variant of Szász operators based on Sheffer polynomials and prove a Korovkin type theorem. Also, we present the Voronovskaya type theorem and Grüss-Voronovskaya type theorem. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

In this paper we will prove the Korovkin type theorem for modified Szász–Mirakyan operators via A-statistical convergence and the power summability method. Also we give the rate of the convergence related to the above summability methods, and in the last section, we give a kind of Voronovskaya type theorem for A-statistical convergence and Grüss–Voronovskaya type theorem. [ABSTRACT FROM AUTHOR]

In this paper we will prove the Korovkin type theorem for Baskakov-Schurer-Szász operators via the A-statistical convergence and the power summability method. Also we give the rate of the convergence related to the above summability methods and in the last chapter we give a kind of Voronovskaya type theorem for the A-statistical convergence and Grüss-Voronovskaya type theorem. [ABSTRACT FROM AUTHOR]