Title :
Approximation of Discontinuous Bivariate Functions by Gauss-Weierstrass Operators
Author :
Jianyong Wang ; Xiaoming Zeng ; Peixin Ye
Author_Institution :
Sch. of Math. Sci., Xiamen Univ., Xiamen, China
Abstract :
A new class of bivariate functions on R2 denoted by IB(R2) is introduced. The class IB(R2) may contain some kind of discontinuous functions. The behavior of approximation of functions in IB(R2) by bivariate Gauss-Weierstrass operators is investigated and a point wise approximation theorem is established.
Keywords :
Gaussian processes; approximation theory; Gauss-Weierstrass operators; IBR2; approximation theorem; discontinuous bivariate functions; discontinuous functions; Approximation methods; Bismuth; Computers; Convergence; Educational institutions; Polynomials; Tensile stress; Gauss-Weierstrass operators; approximation theorem; discontinuous functions;
Conference_Titel :
Information Technology and Applications (ITA), 2013 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4799-2876-7
DOI :
10.1109/ITA.2013.69
