AbstractThis note generalizes estimates in [8] for approximation of periodic functions by Fourier sums and interpolatory polynomials in Hölder spaces. In particular, we give explicit values for constants appearing in Hölder norm results
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for trigonometric polynomials sn of degree ⩽n, we have...
AbstractAn important open problem concerning the approximation of bivariate functions by separable f...
AbstractUsing ideas of Grünwald, Marcinkiewicz, and Vértesi concerning the divergence of interpolati...
AbstractThis note generalizes estimates in [8] for approximation of periodic functions by Fourier su...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
AbstractUsing some new ideas and careful calculation, the present paper shows that there exists a fu...
AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of ...
AbstractThe problem of convergence of interpolating polynomials of the type ln(x,f)=a(n)02+∑k=1n(a(n...
AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] w...
AbstractLetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Π...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
AbstractThe best approximation of functions in Lp(Sd−1),0<p<1 by spherical harmonic polynomials is s...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractWe study the rate of uniform approximation by Nörlund means of the rectangular partial sums ...
AbstractThe paper studies the degree of approximation of functions associated with Hardy–Littlewood ...
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for trigonometric polynomials sn of degree ⩽n, we have...
AbstractAn important open problem concerning the approximation of bivariate functions by separable f...
AbstractUsing ideas of Grünwald, Marcinkiewicz, and Vértesi concerning the divergence of interpolati...
AbstractThis note generalizes estimates in [8] for approximation of periodic functions by Fourier su...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
AbstractUsing some new ideas and careful calculation, the present paper shows that there exists a fu...
AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of ...
AbstractThe problem of convergence of interpolating polynomials of the type ln(x,f)=a(n)02+∑k=1n(a(n...
AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] w...
AbstractLetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Π...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
AbstractThe best approximation of functions in Lp(Sd−1),0<p<1 by spherical harmonic polynomials is s...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractWe study the rate of uniform approximation by Nörlund means of the rectangular partial sums ...
AbstractThe paper studies the degree of approximation of functions associated with Hardy–Littlewood ...
AbstractLet 0<p<∞ and 0⩽α<β⩽2π. We prove that for trigonometric polynomials sn of degree ⩽n, we have...
AbstractAn important open problem concerning the approximation of bivariate functions by separable f...
AbstractUsing ideas of Grünwald, Marcinkiewicz, and Vértesi concerning the divergence of interpolati...
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