AbstractThis paper considers the optimality and the evaluation of the constants that appear in the expressions of error bounds for interpotating spline functions over a uniform mesh of the real line when the nodes are uniformly shifted
The usual power function error estimates do not capture the true order of uniform accuracy for thin ...
AbstractThe theory of best approximation and best error bounds is sketched. It is observed that spli...
AbstractIn this paper some upper bound for the error ∥ s-f ∥∞ is given, where f ε C1[a,b], but s is ...
AbstractThis paper considers the optimality and the evaluation of the constants that appear in the e...
AbstractBased on Peano kernel technique, explicit error bounds (optimal for the highest order deriva...
AbstractBounds for the uniform norm of the errors in the second and third derivatives of cubic inter...
AbstractThe error bounds considered are of the form ∥f(r) − s(r) ∥∞ ⩽ Cr ∥f(4) ∥∞ h4 − r, where s is...
AbstractFour types of quadratic spline interpolants are considered for which we obtain error bounds ...
Adaptive approximation (or interpolation) takes into account local variations in the behavior of the...
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
In the case of uniform grids, the error of the spline interpolant of a function defined on R has bee...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
AbstractSharp error bounds for interpolating splines in tension with variable tension parameters are...
Abstract: In this paper, we construct a spline method for solving a interpolation problem using piec...
AbstractThe question of adaptive mesh generation for approximation by splines has been studied for a...
The usual power function error estimates do not capture the true order of uniform accuracy for thin ...
AbstractThe theory of best approximation and best error bounds is sketched. It is observed that spli...
AbstractIn this paper some upper bound for the error ∥ s-f ∥∞ is given, where f ε C1[a,b], but s is ...
AbstractThis paper considers the optimality and the evaluation of the constants that appear in the e...
AbstractBased on Peano kernel technique, explicit error bounds (optimal for the highest order deriva...
AbstractBounds for the uniform norm of the errors in the second and third derivatives of cubic inter...
AbstractThe error bounds considered are of the form ∥f(r) − s(r) ∥∞ ⩽ Cr ∥f(4) ∥∞ h4 − r, where s is...
AbstractFour types of quadratic spline interpolants are considered for which we obtain error bounds ...
Adaptive approximation (or interpolation) takes into account local variations in the behavior of the...
AbstractThis paper presents a formulation of a quadratic spline with periodic derivative that fits t...
In the case of uniform grids, the error of the spline interpolant of a function defined on R has bee...
AbstractH. ter Morsche [12] presented a unified theory of interpolation by periodic splines of degre...
AbstractSharp error bounds for interpolating splines in tension with variable tension parameters are...
Abstract: In this paper, we construct a spline method for solving a interpolation problem using piec...
AbstractThe question of adaptive mesh generation for approximation by splines has been studied for a...
The usual power function error estimates do not capture the true order of uniform accuracy for thin ...
AbstractThe theory of best approximation and best error bounds is sketched. It is observed that spli...
AbstractIn this paper some upper bound for the error ∥ s-f ∥∞ is given, where f ε C1[a,b], but s is ...
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