Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Teodora Cătinaş"'
Autor:
Teodora Cătinaş
Publikováno v:
Symmetry, Vol 14, Iss 11, p 2446 (2022)
We consider two types of Cheney–Sharma operators for functions defined on a triangle with all straight sides. We construct their product and Boolean sum, we study their interpolation properties and the orders of accuracy and we give different expre
Externí odkaz:
https://doaj.org/article/0910a772b7e641229c19573cf1fe8053
Autor:
Teodora Cătinaş
Publikováno v:
Symmetry, Vol 14, Iss 9, p 1880 (2022)
We consider results regarding Bernstein and Cheney–Sharma-type operators that interpolate functions defined on triangles with straight and curved sides and we introduce a new Cheney–Sharma-type operator for the triangle with one curved side, high
Externí odkaz:
https://doaj.org/article/c778a9b2f1bf45bd9b7a40c62ce344d9
Autor:
Teodora Cătinaş
Publikováno v:
Symmetry, Vol 14, Iss 2, p 240 (2022)
For solving the problem of modeling and visualization of scattered data that should preserve some constraints, we use a modified Shepard type operator that is required to fulfill some special conditions, highlighting the symmetry with other methods.
Externí odkaz:
https://doaj.org/article/8031bf6436784705a7269b8169330963
Autor:
Teodora Cătinaş
Publikováno v:
BIT Numerical Mathematics. 61:757-770
We extend some Nielson type interpolation operators to the cases of standard and arbitrary triangles with one curved side. The correspondence between the operators defined on standard triangles and arbitrary triangles is made using barycentric coordi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::400ef46e59193e7c1dcc1bf039a4abb9
https://doi.org/10.1007/s10543-021-00842-7
https://doi.org/10.1007/s10543-021-00842-7
Autor:
Teodora Cătinaş
Publikováno v:
Numerical Functional Analysis and Optimization. 40:1939-1963
We construct some generalized Hermite-type interpolation operators for the case of a triangle with one curved side, and we consider their product and Boolean sum operators. We study the interpolati...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbd3a6ad1809eaa0b214dc4c50dca8dc
https://doi.org/10.1080/01630563.2019.1657892
https://doi.org/10.1080/01630563.2019.1657892
Autor:
Teodora Cătinaş
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We consider some Bernstein-type operators as well as their product and Boolean sum for a function defined on a triangle with all curved sides. Using the weakly Picard operators technique and the contraction principle, we study the convergence of the
Externí odkaz:
https://doaj.org/article/acbdbe7a8a4c4fa9bf80654c799a0ef0
Autor:
Gheorghe Coman, Teodora Cătinaş
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 37, Iss 2 (2008)
The aim of this paper is to define the elementary spline functions in analogy with the definition of the polynomial spline functions, given by I. J.Schonberg. Also, it is described a method for constructing the elementary spline functions. Finally, s
Externí odkaz:
https://doaj.org/article/fa6ca9bddae243c3b7908ac8a794025b
Autor:
Teodora Cătinaş
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 34, Iss 1 (2005)
We study the bivariate Shepard-Lidstone interpolation operator and obtain new estimates for the remainder. Some numerical examples are provided.
Externí odkaz:
https://doaj.org/article/15f3b46ae8424175baeddaa72433f3df
Autor:
Teodora Cătinaş
Publikováno v:
Applied Mathematics and Computation. 315:286-297
We extend some Nielson and Marshall type interpolation operators to the case of a triangle with one curved side. We study the interpolation properties of the obtained operators and of their product and Boolean sum operators, the orders of accuracy an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b78f1097c673bc0f5e92e3ed16839d06
https://doi.org/10.1016/j.amc.2017.07.060
https://doi.org/10.1016/j.amc.2017.07.060
Autor:
Teodora Cătinaş
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 32, Iss 1 (2003)
We extend the Shepard operator by combining it with the Abel-Goncharov univariate operator in order to increase the degree of exactness and to use some specific functionals. We study this combined operator and give some of its properties. We introduc
Externí odkaz:
https://doaj.org/article/4663d4a0e825451f9367090149a1f938