Inverse Function Reproducing Kernel Sobolev Space Sign Function Integral Transform Solution Method of General Equations 30C40
Issue Date:
2007
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 10, No 2, (2007), 161p-168p
Abstract:
In this paper we give practical and numerical representations of inverse
functions by using the integral transform with the sign kernel, and show
corresponding numerical experiments by using computers. We derive a very
simple formula from a general idea for the representation of the inverse
functions, based on the theory of reproducing kernels.
