Approximation with Szász-Chlodowsky operators employing general-Appell polynomials
Nusrat Raza, Manoj Kumar, M. Mursaleen
Abstract
Abstract This article explores a Chlodowsky-type extension of Szász operators using the general-Appell polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity. Additionally, the weighted $\mathfrak{B}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>B</mml:mi> </mml:math> -statistical convergence and statistically weighted $\mathfrak{B}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>B</mml:mi> </mml:math> -summability properties of the operators are derived. Theoretical results are supported by numerical and graphical examples.