ABSTRACT
This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre’s 𝒦-functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.
The authors would like to thank the editor and referee for their valuable comments which greatly helped improving the clarity and quality of the paper. In addition, they also would like to thank the Scientific and Technological Research Council of Turkey (TÜBİTAK) for the graduate scholarship that supported the first author.
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