Asymptotic properties and quantitative results of the wavelet type Bernstein operators

This work is a continuation of the author’s very recent study on the newly introduced wavelet type Bernstein operators [19]. The main goal of the present study is to obtain some asymptotic properties and quantitative results of the newly introduced wavelet type Bernstein operators by using the compactly supported Daubechies wavelets of the given function f . The basis used in this study are approximation theory and wavelet theory together with the rational sampling values of the function obtained by father wavelets. Later, we will examine some quantitative and Voronovskaya-type results in some function spaces.