Let f∈C3[a,b] and L be a linear differential operator such that L(f)≥0. Then there exists a sequence Qn, n≥1, of polynomial splines with equally spaced knots, such that Qr, approximates fr, 0≤r≤s, simultaneously in the uniform norm. This approximation is given through inequalities with rates, involving a measure of smoothness to fs; so that L (Qn)≥0. The encountered cases are the continuous, periodic and discrete. © 1989, Springer. All rights reserved
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
An analog of the Jackson Chernykh inequality for spline approximations in the space L2(R) is establ...
In this paper, we derive conditions for best uniform approximation by fixed knots polynomial splines...
Let f∈C3[a,b] and L be a linear differential operator such that L(f)≥0. Then there exists a sequence...
AbstractGiven a monotone or convex function on a finite interval we construct splines of arbitrarily...
We continue the study of the properties of local L-splines with uniform knots (such splines were con...
For r ≥ 3, n ∈ N and each 3-monotone continuous function f on [a, b] (i.e., f is such that its third...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...
In this paper necessary and sufficient optimality conditions for uniform approximation of continuous...
Let f ∈ Cr([−1,1]), r ≥ 0 and let L* be a linear right fractional differential operator such that L*...
AbstractLet P be a nonnegative perfect spline of degree n on [a, b] satisfying P(j)(a) = P(j)(b) = 0...
Let f Î Cr ([−1, 1]), r ³0 and let L∗ be a linear left frac- tional differential operator such that ...
In 1965, Schoenberg [4] introduced a piecewise polynomial generalization of Bern-stein’s operator pr...
: The paper is related to the article [1]. It is proved that a sequence of L 1;0 - spline approximat...
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
An analog of the Jackson Chernykh inequality for spline approximations in the space L2(R) is establ...
In this paper, we derive conditions for best uniform approximation by fixed knots polynomial splines...
Let f∈C3[a,b] and L be a linear differential operator such that L(f)≥0. Then there exists a sequence...
AbstractGiven a monotone or convex function on a finite interval we construct splines of arbitrarily...
We continue the study of the properties of local L-splines with uniform knots (such splines were con...
For r ≥ 3, n ∈ N and each 3-monotone continuous function f on [a, b] (i.e., f is such that its third...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...
In this paper necessary and sufficient optimality conditions for uniform approximation of continuous...
Let f ∈ Cr([−1,1]), r ≥ 0 and let L* be a linear right fractional differential operator such that L*...
AbstractLet P be a nonnegative perfect spline of degree n on [a, b] satisfying P(j)(a) = P(j)(b) = 0...
Let f Î Cr ([−1, 1]), r ³0 and let L∗ be a linear left frac- tional differential operator such that ...
In 1965, Schoenberg [4] introduced a piecewise polynomial generalization of Bern-stein’s operator pr...
: The paper is related to the article [1]. It is proved that a sequence of L 1;0 - spline approximat...
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
An analog of the Jackson Chernykh inequality for spline approximations in the space L2(R) is establ...
In this paper, we derive conditions for best uniform approximation by fixed knots polynomial splines...
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