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Representations of Inverse Functions by the Integral Transform with the Sign Kernel

Yamada, MasatoMatsuura, TsutomuSaitoh, Saburou — 2007

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: Primary 30C40 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.

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