Title
Rate of approximation for functions of bounded variation by integral operators
Abstract
We estimate pointwise convergence rates of approximation for functions of bounded variation and for functions which are exponentially bounded and locally of bounded variation. The approximation is through the operation of a sequence of integral operators with not necessarily positive kernel functions. The general result is then applied to deduce estimates for particular operators, such as Beta operators, Fourier–Legendre operators, Picard operators, and Gauss–Weierstrass operators.
Year
DOI
Venue
2003
10.1023/A:1025701723907
Periodica Mathematica Hungarica
Keywords
Field
DocType
Convergence Rate,Kernel Function,General Result,Integral Operator,Bounded Variation
Fourier integral operator,Mathematical analysis,Constant coefficients,Operator norm,Schwartz kernel theorem,Operator theory,Microlocal analysis,Mathematics,Spectral theorem,Bounded function
Journal
Volume
Issue
ISSN
46
1
1588-2829
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Ya-Hui Hua100.34
Sen-Yen Shaw200.68