On the Cauchy transform and complex cubic splines

In this paper we approximate the Cauchy transform of a complex function on a simple closed curve, using an interpolation cubic spline function given by Iancu (1987).

Bibliographic Details
Main Authors: Crăciun Iancu, Tiberiu Oproiu, Alexandru Pop, Vasile Pop
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2003-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/734
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author Crăciun Iancu
Tiberiu Oproiu
Alexandru Pop
Vasile Pop
author_facet Crăciun Iancu
Tiberiu Oproiu
Alexandru Pop
Vasile Pop
author_sort Crăciun Iancu
collection DOAJ
description In this paper we approximate the Cauchy transform of a complex function on a simple closed curve, using an interpolation cubic spline function given by Iancu (1987).
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institution Directory Open Access Journal
issn 2457-6794
2501-059X
language English
last_indexed 2024-04-14T05:06:08Z
publishDate 2003-02-01
publisher Publishing House of the Romanian Academy
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spelling doaj.art-1de3de6bc5ad4d76a439eb657dc8b1452022-12-22T02:10:41ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2003-02-01321On the Cauchy transform and complex cubic splinesCrăciun Iancu0Tiberiu Oproiu1Alexandru Pop2Vasile Pop“Babes-Bolyai” University, Cluj-Napoca, Romania“Babes-Bolyai” University, Cluj-Napoca, Romania“Babes-Bolyai” University, Cluj-Napoca, RomaniaIn this paper we approximate the Cauchy transform of a complex function on a simple closed curve, using an interpolation cubic spline function given by Iancu (1987).https://ictp.acad.ro/jnaat/journal/article/view/734Cauchy transformHölder conditioncomplex cubic spline
spellingShingle Crăciun Iancu
Tiberiu Oproiu
Alexandru Pop
Vasile Pop
On the Cauchy transform and complex cubic splines
Journal of Numerical Analysis and Approximation Theory
Cauchy transform
Hölder condition
complex cubic spline
title On the Cauchy transform and complex cubic splines
title_full On the Cauchy transform and complex cubic splines
title_fullStr On the Cauchy transform and complex cubic splines
title_full_unstemmed On the Cauchy transform and complex cubic splines
title_short On the Cauchy transform and complex cubic splines
title_sort on the cauchy transform and complex cubic splines
topic Cauchy transform
Hölder condition
complex cubic spline
url https://ictp.acad.ro/jnaat/journal/article/view/734
work_keys_str_mv AT craciuniancu onthecauchytransformandcomplexcubicsplines
AT tiberiuoproiu onthecauchytransformandcomplexcubicsplines
AT alexandrupop onthecauchytransformandcomplexcubicsplines
AT vasilepop onthecauchytransformandcomplexcubicsplines