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

Yamada, 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 -