Interpolation methods for multivalued functions

Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

Authors

  • Ildiko SOMOGYI Babes-Bolyai University Faculty of Mathematics and Computer Science Cluj-Napoca, Romania e-mail: ilkovacs@math.ubbcluj.ro
  • Anna SOÓS Babes-Bolyai University Faculty of Mathematics and Computer Science Cluj-Napoca, Romania e-mail: asoos@math.ubbcluj.ro https://orcid.org/0000-0002-3305-0296

Keywords:

Numerical interpolation, spline functions.

Abstract

The aim of these article is to study the interpolation problem for multi- valued functions. We give some methods for the approximation of these functions.

Mathematics Subject Classification (2010): 65D05, 65D07.

References

Coman, Gh., Shepard operators of Birkho-type, Calcolo, 35(1998), 197-203.

Coman, Gh., Trmbitas, R., Combined Shepard univariate operators, East Journal on Approximations, 7(2001), 471483.

Coman, Gh., Birou, M., Osan, C., Somogyi, I., Catinas, T., Oprisan, A., Pop, I., Todea, I., Interpolation operators, Ed. Casa Cartii de Stiinta, Cluj-Napoca, 2004.

Catinas, T., Interpolation of scattered data, Ed. Casa Cartii de Stiinta, Cluj-Napoca, 2007.

Sauer, T., Polynomial interpolation of minimal degree, Numer. Math., 78(1997), 59-85.

Trmbitas, R., Univariate Shepard-Lagrange interpolation, Kragujevac J. Math., 24(2002), 85-94.

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Published

2016-09-30

How to Cite

SOMOGYI, I., & SOÓS, A. (2016). Interpolation methods for multivalued functions: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary. Studia Universitatis Babeș-Bolyai Mathematica, 61(3), 377–382. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5603

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