AbstractFor the derivatives of the Hermite polynomial interpolation of a function on the interval [a, b] we obtain best possible uniform error estimates. For this, a new representation for the error function is developed
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejér in...
AbstractThe classical bounds on the truncation error of quadrature formulas obtained by Peano's Theo...
AbstractThe authors consider a procedure of Hermite interpolation of higher order based on the zeros...
AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] w...
AbstractIn this paper some upper bound for the error ∥ s-f ∥∞ is given, where f ε C1[a,b], but s is ...
AbstractThere are many investigations of Lagrange interpolation operators. In this paper, we study n...
AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of ...
AbstractPointwise error estimates are obtained for polynomial interpolants in the roots and extrema ...
AbstractWe derive a complex line integral representation for the Čebyshev norm of periodic spline in...
AbstractBased on Peano kernel technique, explicit error bounds (optimal for the highest order deriva...
Lp-approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of t...
AbstractThe purpose of the paper is to investigate weighted Lp convergence of Lagrange interpolation...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
AbstractFor distinct points x0, x1, …, xn in R, a function f of Cd[a,b] and nonnegative integers d0,...
AbstractFor the derivatives of the Hermite polynomial interpolation of a function on the interval [a...
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejér in...
AbstractThe classical bounds on the truncation error of quadrature formulas obtained by Peano's Theo...
AbstractThe authors consider a procedure of Hermite interpolation of higher order based on the zeros...
AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] w...
AbstractIn this paper some upper bound for the error ∥ s-f ∥∞ is given, where f ε C1[a,b], but s is ...
AbstractThere are many investigations of Lagrange interpolation operators. In this paper, we study n...
AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of ...
AbstractPointwise error estimates are obtained for polynomial interpolants in the roots and extrema ...
AbstractWe derive a complex line integral representation for the Čebyshev norm of periodic spline in...
AbstractBased on Peano kernel technique, explicit error bounds (optimal for the highest order deriva...
Lp-approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of t...
AbstractThe purpose of the paper is to investigate weighted Lp convergence of Lagrange interpolation...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
AbstractFor distinct points x0, x1, …, xn in R, a function f of Cd[a,b] and nonnegative integers d0,...
AbstractFor the derivatives of the Hermite polynomial interpolation of a function on the interval [a...
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejér in...
AbstractThe classical bounds on the truncation error of quadrature formulas obtained by Peano's Theo...
AbstractThe authors consider a procedure of Hermite interpolation of higher order based on the zeros...
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