AbstractWe obtain estimates on the order of best approximation by polynomials and ridge functions in the spaces Lq of classes of s-monotone radial functions which belong to the space Lp, 1⩽q⩽p≤∞
AbstractWe consider 3-monotone approximation by piecewise polynomials with prescribed knots. A gener...
AbstractWe prove that for a 3-monotone function F∈C[−1,1], one can achieve the pointwise estimates |...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
AbstractLet Wpr(Bd) be the usual Sobolev class of functions on the unit ball Bd in Rd, and Wp∘,r(Bd)...
AbstractWe obtain estimates on the order of best approximation by polynomials and ridge functions in...
AbstractWe investigate the radial manifolds Rn generated by a linear combination of n radial functio...
AbstractIt is shown that an algebraic polynomial of degree ⩽k−1 which interpolates ak-monotone funct...
AbstractLet f(z) belong to the well-known class S of functions univalent in the unit disk. It is sho...
AbstractThe problem considered is that of finding a best uniform approximation to a real function f ...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
AbstractWe are going to survey recent developments and achievements in shape-preserving approximatio...
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractIn the paper we define and study classes Wn(Θ,Mj) of non-negative real functions associated ...
AbstractUniform approximation of functions of a real or a complex variable by a class of linear oper...
The polynomial approximation behaviour of the class of functions $$ F_s: R^2\(x_0, y_0 ) -> R, F_s...
AbstractWe consider 3-monotone approximation by piecewise polynomials with prescribed knots. A gener...
AbstractWe prove that for a 3-monotone function F∈C[−1,1], one can achieve the pointwise estimates |...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
AbstractLet Wpr(Bd) be the usual Sobolev class of functions on the unit ball Bd in Rd, and Wp∘,r(Bd)...
AbstractWe obtain estimates on the order of best approximation by polynomials and ridge functions in...
AbstractWe investigate the radial manifolds Rn generated by a linear combination of n radial functio...
AbstractIt is shown that an algebraic polynomial of degree ⩽k−1 which interpolates ak-monotone funct...
AbstractLet f(z) belong to the well-known class S of functions univalent in the unit disk. It is sho...
AbstractThe problem considered is that of finding a best uniform approximation to a real function f ...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
AbstractWe are going to survey recent developments and achievements in shape-preserving approximatio...
(First paragraph) For 1 ≤ p \u3c ∞, let Lp, denote the Banach space of pth power Lebesgue integrable...
AbstractIn the paper we define and study classes Wn(Θ,Mj) of non-negative real functions associated ...
AbstractUniform approximation of functions of a real or a complex variable by a class of linear oper...
The polynomial approximation behaviour of the class of functions $$ F_s: R^2\(x_0, y_0 ) -> R, F_s...
AbstractWe consider 3-monotone approximation by piecewise polynomials with prescribed knots. A gener...
AbstractWe prove that for a 3-monotone function F∈C[−1,1], one can achieve the pointwise estimates |...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
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