AbstractLet f∈C[−1, 1] be real-valued. We consider the Lipschitz constants Ln(f) of the operators of best uniform polynomial approximation of degree n, n∈N. It is proved that limsupn∈NLn(f)=∞, whenever f is not a polynomial
AbstractThe degree of approximation inLp-spaces by positive linear operators is estimated in terms o...
AbstractLet X be a closed subset of I = [−1, 1], and let Bn(f) be the best uniform approximation to ...
AbstractFor a functionf∈Lp[−1, 1], 0<p<∞, with finitely many sign changes, we construct a sequence o...
AbstractLet f∈C[−1, 1] be real-valued. We consider the sequence of strong unicity constants (γn(f))n...
AbstractA partial answer to a problem of Rivlin (“Abstract Spaces and Approximation,” Berkhäuser Ver...
AbstractOn a simplex S⊂Rd, the best polynomial approximation is En(⨍)Lp(S)=Inf{‖Pn−⨍‖Lp(S): Pn of to...
AbstractLet T be a polynomial of degree N and let K be a compact set with C. First it is shown, if z...
AbstractLet ƒbe a continuous function and sn be the polynomial of degree at most n of best L2(μ)-app...
AbstractThis paper gives the answer to a problem of Rivlin in L1 approximation in the case when n = ...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractUniform approximation of functions of a real or a complex variable by a class of linear oper...
We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a...
AbstractLet f ϵ Cn+1[−1, 1] and let H[f](x) be the nth degree weighted least squares polynomial appr...
AbstractThe approximation of functions by Müntz polynomials pn(x) = ∑v=0navxλv, nϵN, is studied. Con...
AbstractFor any continuous function f:[−1, 1]↦C and any p∈(0, ∞), let ‖f‖p≔(2−1∫1−1|f(x)|pdx)1/p; in...
AbstractThe degree of approximation inLp-spaces by positive linear operators is estimated in terms o...
AbstractLet X be a closed subset of I = [−1, 1], and let Bn(f) be the best uniform approximation to ...
AbstractFor a functionf∈Lp[−1, 1], 0<p<∞, with finitely many sign changes, we construct a sequence o...
AbstractLet f∈C[−1, 1] be real-valued. We consider the sequence of strong unicity constants (γn(f))n...
AbstractA partial answer to a problem of Rivlin (“Abstract Spaces and Approximation,” Berkhäuser Ver...
AbstractOn a simplex S⊂Rd, the best polynomial approximation is En(⨍)Lp(S)=Inf{‖Pn−⨍‖Lp(S): Pn of to...
AbstractLet T be a polynomial of degree N and let K be a compact set with C. First it is shown, if z...
AbstractLet ƒbe a continuous function and sn be the polynomial of degree at most n of best L2(μ)-app...
AbstractThis paper gives the answer to a problem of Rivlin in L1 approximation in the case when n = ...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractUniform approximation of functions of a real or a complex variable by a class of linear oper...
We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a...
AbstractLet f ϵ Cn+1[−1, 1] and let H[f](x) be the nth degree weighted least squares polynomial appr...
AbstractThe approximation of functions by Müntz polynomials pn(x) = ∑v=0navxλv, nϵN, is studied. Con...
AbstractFor any continuous function f:[−1, 1]↦C and any p∈(0, ∞), let ‖f‖p≔(2−1∫1−1|f(x)|pdx)1/p; in...
AbstractThe degree of approximation inLp-spaces by positive linear operators is estimated in terms o...
AbstractLet X be a closed subset of I = [−1, 1], and let Bn(f) be the best uniform approximation to ...
AbstractFor a functionf∈Lp[−1, 1], 0<p<∞, with finitely many sign changes, we construct a sequence o...
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