A Note on Suns in Convex Metric Spaces
A priori convergence of the greedy algorithm for the parametrized reduced basis method
The convergence and efficiency of the reduced basis method used for the approximation of the solutions to a class of problems written as a parametrized PDE depends heavily on the choice of the elements that constitute the “reduced basis”. The purpose of this paper is to analyze the a priori convergence for one of the approaches used for the selection of these elements, the greedy algorithm. Under natural hypothesis on the set of all solutions to the problem obtained when the parameter varies, we...
A priori convergence of the Greedy algorithm for the parametrized reduced basis method
The convergence and efficiency of the reduced basis method used for the approximation of the solutions to a class of problems written as a parametrized PDE depends heavily on the choice of the elements that constitute the “reduced basis”. The purpose of this paper is to analyze the a priori convergence for one of the approaches used for the selection of these elements, the greedy algorithm. Under natural hypothesis on the set of all solutions to the problem obtained when the parameter varies, we...
A priori convergence of the Greedy algorithm for the parametrized reduced basis method
The convergence and efficiency of the reduced basis method used for the approximation of the solutions to a class of problems written as a parametrized PDE depends heavily on the choice of the elements that constitute the “reduced basis”. The purpose of this paper is to analyze the a priori convergence for one of the approaches used for the selection of these elements, the greedy algorithm. Under natural hypothesis on the set of all solutions to the problem obtained when the parameter varies, we...
A result on best approximation in -normed spaces
We study best approximation in -normed spaces via a general common fixed point principle. Our results unify and extend some known results of Carbone [ca:pt], Dotson [do:bs], Jungck and Sessa [ju:at], Singh [si:at] and many of others.
A stochastic version of Fan's best approximation theorem.
A structural theorem of the generalized spline functions.
A type of continuous projections
A variational approach to spline functions theory.
A variational approach to spline functions theory.
Abstract analysis of Korovkin approximation theory [Abstract of thesis]
Accretive metric projections.
Almost ball remotal subspaces in Banach spaces
We investigate almost ball remotal and ball remotal subspaces of Banach spaces. Several subspaces of the classical Banach spaces are identified having these properties. Some stability results for these properties are also proved.
An extension of a theorem of Sahab, Khan, and Sessa.
An internal characterization of G-spaces
An iterative method for solving operator equations
An Operator-Theoretical Approach to Error Estimation.
Analytic and approximations of norms in separable Banach spaces
Antiproximinal sets in the Banach space
If is a Banach space then the Banach space of all -valued convergent sequences contains a nonvoid bounded closed convex body such that no point in has a nearest point in .
Application of Bishop-Phelps theorem in the approximation theory.