AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R,dμ) (or Cw0) if and only if the algebraic polynomials are dense in L2p(R,dμ) (or Cw0). If μ is not a 2p-singular measure (or w is not a singular weight), this also implies the more general ‘oscillation-diminishing polynomial approximation property’
AbstractLet μ be a positive measure of compact support in the complex plane. Let P be the set of com...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
We prove here some polynomial approximation theorems, somewhat related to the Szasz-Mfintz theorem, ...
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
AbstractWe consider exponential weights of the formw≔e−Qon [−1,1] whereQ(x) is even and grows faster...
AbstractWe discuss universal properties of some operators Ln:C[0,1]→C[0,1]. The operators considered...
AbstractIn this note we will show that for 0 < p < 1 simultaneous polynomial approximation is not po...
AbstractWe estimate the Lp(Rd)-approximation rate (1≤p≤∞) provided dilates of an orthogonal projecti...
Let a function f 2 L p [\Gamma1; 1], 0 ! p 1 have 1 r ! 1 changes of monotonicity. For all sufficie...
AbstractLetEbe a subspace ofC(X) and letR(E)=g/h:g, h∈E; h>0}. We make a simple, yet intriguing obse...
AbstractPolynomial approximation by weighted polynomials of the form wn(x)Pn(x) is investigated on c...
This work is motivated by the analysis of stability and convergence of spectral methods using Chebys...
AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best gene...
AbstractLet μ be a positive measure of compact support in the complex plane. Let P be the set of com...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
We prove here some polynomial approximation theorems, somewhat related to the Szasz-Mfintz theorem, ...
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
AbstractWe prove direct and inverse theorems for the classical modulus of smoothness and approximati...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
AbstractWe consider exponential weights of the formw≔e−Qon [−1,1] whereQ(x) is even and grows faster...
AbstractWe discuss universal properties of some operators Ln:C[0,1]→C[0,1]. The operators considered...
AbstractIn this note we will show that for 0 < p < 1 simultaneous polynomial approximation is not po...
AbstractWe estimate the Lp(Rd)-approximation rate (1≤p≤∞) provided dilates of an orthogonal projecti...
Let a function f 2 L p [\Gamma1; 1], 0 ! p 1 have 1 r ! 1 changes of monotonicity. For all sufficie...
AbstractLetEbe a subspace ofC(X) and letR(E)=g/h:g, h∈E; h>0}. We make a simple, yet intriguing obse...
AbstractPolynomial approximation by weighted polynomials of the form wn(x)Pn(x) is investigated on c...
This work is motivated by the analysis of stability and convergence of spectral methods using Chebys...
AbstractLet (Ω,A,μ) be a finite measure space. In this paper we extend the operator of the best gene...
AbstractLet μ be a positive measure of compact support in the complex plane. Let P be the set of com...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
We prove here some polynomial approximation theorems, somewhat related to the Szasz-Mfintz theorem, ...
DOI
Add to ORKG