On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators

Year 2026, Volume: 7 Issue: 1, 53 - 69, 31.01.2026

Tuncay Tunç , Burcu Fedakar

Abstract

In this paper, we introduced two different Stancu-type generalizations of Chlodovsky-type Szasz-Mirakyan-Bernstein operators. We gave a general moment formula for these operators. We investigated the approximation properties and obtained the rate of convergence by means of modulus of continuity. Also, Voronovskaja-type theorems were obtained.

Keywords

Positive and Linear operators , Chlodovsky type of Szasz-Mirakyan-Bernstein operator , Korovkin , Voronovskaja

Ethical Statement

The authors declare that the materials and methods used in their study do not require ethical committee and/or legal special permission.

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