Geodesic
Approximation by Modified Szász Operators with a new Modification of Brenke type Polynomials
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 111

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In the present article we study the approximation properties of modified Szász operators with a new modification of Brenke type polynomials. First, we estimate the rate of convergence, for the newly defined operators, by means of modulus of smoothness, Peetre's K-functional and Lipschitz type functions. Furthermore, we also prove a Voronovskaja type asymptotic theorem.
Classification : 41A25, 41A36, 41A30, 26A15
Keywords: rate of convergence, modulus of continuity, Szász operators, Voronovskaja type theorem 
Ajay Kumar. Approximation by Modified Szász Operators with a new Modification of Brenke type Polynomials. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 111 . http://geodesic.mathdoc.fr/item/KJM_2025_49_1_a9/
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     author = {Ajay Kumar},
     title = {Approximation by {Modified} {Sz\'asz} {Operators} with a new {Modification} of {Brenke} type {Polynomials}},
     journal = {Kragujevac Journal of Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_1_a9/}
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