Title :
On approximation properties of generalized Kantorovich-type sampling operators
Author :
Orlova, Olga ; Tamberg, Gert
Author_Institution :
Dept. of Math., Tallinn Univ. of Technol., Tallinn, Estonia
Abstract :
In this paper, we generalize the notion of Kantorovich-type sampling operators using the Fejér-type singular integral. By means of these operators we are able to reconstruct signals (functions) which are not necessarily continuous. Moreover, our generalization allows us to take the measurement error into account. The goal of this paper is to estimate the rate of approximation by the above operators via high-order modulus of smoothness.
Keywords :
measurement errors; signal reconstruction; signal sampling; Fejer-type singular integral; generalized Kantorovich-type sampling operator approximation properties; measurement error; signal reconstruction; smoothness high-order modulus; Approximation methods; Convolution; Electronic mail; Fourier transforms; Image processing; Kernel;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148849
