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

Yamada, Masato; Matsuura, Tsutomu; Saitoh, Saburou

Fractional Calculus and Applied Analysis (2007)

- Volume: 10, Issue: 2, page 161-168
- ISSN: 1311-0454

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topYamada, Masato, Matsuura, Tsutomu, and Saitoh, Saburou. "Representations of Inverse Functions by the Integral Transform with the Sign Kernel." Fractional Calculus and Applied Analysis 10.2 (2007): 161-168. <http://eudml.org/doc/11325>.

@article{Yamada2007,

abstract = {Mathematics Subject Classification: Primary 30C40In 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.},

author = {Yamada, Masato, Matsuura, Tsutomu, Saitoh, Saburou},

journal = {Fractional Calculus and Applied Analysis},

keywords = {30C40},

language = {eng},

number = {2},

pages = {161-168},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Representations of Inverse Functions by the Integral Transform with the Sign Kernel},

url = {http://eudml.org/doc/11325},

volume = {10},

year = {2007},

}

TY - JOUR

AU - Yamada, Masato

AU - Matsuura, Tsutomu

AU - Saitoh, Saburou

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

JO - Fractional Calculus and Applied Analysis

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 10

IS - 2

SP - 161

EP - 168

AB - Mathematics Subject Classification: Primary 30C40In 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.

LA - eng

KW - 30C40

UR - http://eudml.org/doc/11325

ER -

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