Inverse Function Reproducing Kernel Sobolev Space Sign Function Integral Transform Solution Method of General Equations 30C40
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 10, No 2, (2007), 161p-168p
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.