DOIAbstract
AbstractWe prove that the best one-sided L1 approximation by splines with fixed knots to a differentiable function is unique. Uniqueness need not hold for continuous functions
AbstractWe prove that the best one-sided L1 approximation by splines with fixed knots to a differentiable function is unique. Uniqueness need not hold for continuous functions
We consider the problem of finding the best (uniform) approximation of a given continuous function b...
AbstractIn this paper we extend the uniqueness result of Bojanic and DeVore [Enseign. Math. 12 (1966...
In this paper, we derive a necessary condition for a best approximation by piecewise polynomial func...
AbstractWe prove that the best one-sided L1 approximation by splines with fixed knots to a different...
AbstractA characterization of the best L1-approximation to a continuous function by classes of fixed...
AbstractA complete characterization is given of those functions in C¦a, b¦ which have a unique best ...
AbstractThis paper is concerned with Chebyshev approximation by spline functions with free knots. If...
AbstractLet J be an open interval and denote by SΠ the set of all the splines of degree at most n−1 ...
AbstractIt is shown that every periodic continuous function has a unique best L1-approximation from ...
A necessary condition for a best Chebyshev approximation by piecewise linear functions is derived us...
AbstractLet P be a nonnegative perfect spline of degree n on [a, b] satisfying P(j)(a) = P(j)(b) = 0...
AbstractThe problem of approximating a given function by spline functions with fixed knots is discus...
derivative existing a.e. as a function in L p [0; 1]. It is here that our solution is to be found....
In this paper, we study the problem of best Chebyshev approximation by linear splines. We construct ...
AbstractAn algorithm is developed which computes strict approximations in subspaces of spline functi...
We consider the problem of finding the best (uniform) approximation of a given continuous function b...
AbstractIn this paper we extend the uniqueness result of Bojanic and DeVore [Enseign. Math. 12 (1966...
In this paper, we derive a necessary condition for a best approximation by piecewise polynomial func...
AbstractWe prove that the best one-sided L1 approximation by splines with fixed knots to a different...
AbstractA characterization of the best L1-approximation to a continuous function by classes of fixed...
AbstractA complete characterization is given of those functions in C¦a, b¦ which have a unique best ...
AbstractThis paper is concerned with Chebyshev approximation by spline functions with free knots. If...
AbstractLet J be an open interval and denote by SΠ the set of all the splines of degree at most n−1 ...
AbstractIt is shown that every periodic continuous function has a unique best L1-approximation from ...
A necessary condition for a best Chebyshev approximation by piecewise linear functions is derived us...
AbstractLet P be a nonnegative perfect spline of degree n on [a, b] satisfying P(j)(a) = P(j)(b) = 0...
AbstractThe problem of approximating a given function by spline functions with fixed knots is discus...
derivative existing a.e. as a function in L p [0; 1]. It is here that our solution is to be found....
In this paper, we study the problem of best Chebyshev approximation by linear splines. We construct ...
AbstractAn algorithm is developed which computes strict approximations in subspaces of spline functi...
We consider the problem of finding the best (uniform) approximation of a given continuous function b...
AbstractIn this paper we extend the uniqueness result of Bojanic and DeVore [Enseign. Math. 12 (1966...
In this paper, we derive a necessary condition for a best approximation by piecewise polynomial func...
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