Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1314

 Title: Representations of Inverse Functions by the Integral Transform with the Sign Kernel Authors: Yamada, MasatoMatsuura, TsutomuSaitoh, Saburou Keywords: Inverse FunctionReproducing KernelSobolev SpaceSign FunctionIntegral TransformSolution Method of General Equations30C40 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. Description: Mathematics Subject Classification: Primary 30C40 URI: http://hdl.handle.net/10525/1314 ISSN: 1311-0454 Appears in Collections: 2007

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