Spherical interpolation of scattered data using least squares thin-plate spline and inverse multiquadric functions
Abstract We construct some smooth functions defined over a sphere that interpolate large sets of scattered data, using some modified…
Approximation Theory
On the iterates of uni- and multidimensional operators
Abstract The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in…
Păltănea’s operators: old and new results
Abstract This note concerns the study of an approximation linear positive process introduced by R. Paltanea in 2008. Considering the…
Iterative Shepard operator of least squares thin-plate spline type
AbstractWe propose a modified bivariate Shepard operator of least squares thin-plate spline type based on an iterative method, introduced by…
On Wachnicki’s Generalization of the Gauss–Weierstrass Integral
Abstract The paper aims at a generalization of the Gauss–Weierstrass integral introduced by Eugeniusz Wachnicki two decades ago. It is…
On the Chebyshev subspaces in normed space of Lipschitz functions
Original title (in Romanian)Asupra unor subspații cebâșeviene din spațiul normat al funcțiilor lipschitziene Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of…
On the uniqueness of the extension of continuous p-seminorms
Original title (in Romanian)Asupra unicității prelungirii p-seminormelor continue Abstract AuthorsCostica Mustata Costică Mustăţa “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian…
A classification of Lipschitz functions
Original title (in Romanian)O clasificare a funcțiilor Lipschitziene Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper…
A monotony property of the best approximation operator in the space of Lipschitz functions
Original title (in Romanian)O proprietate de monotonie a operatorului de cea mai bună aproximare, în spațiul funcțiilor lipschitziene Abstract AuthorsCostica…
On the best approximation in metric spaces
Abstract AuthorsCostica Mustata Costică Mustăţa “Tiberiu Popoviciu” Institute of Numerical analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, On the best…