turkmath.org

The aim of this work is to construct and study wavelet type approximation operators by using the compactly supported Daubechies wavelets of the function $f$. The basis used in this construction are the Multiresolution Analysis (MRA), Wavelet Analysis (which is refinement of Fourier Analysis and is applied to different fields) and wavelet expansions of the function $f$ instead of its rational sampling values. Clearly these type operators are extensions of at least the Durrmeyer and Kantorovich type modifications of the approximation operators and have still the same moments of the classical form of the approximation operators. Moreover, we investigate some properties of this operators in some function spaces.