AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] we obtain error estimates in Lp[a, b] norm in terms of its (n + 1)st order derivative in Lv[a, b] norm. The established results are better/best possible compared to those known in the literature
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejér in...
AbstractWe present two results that quantify the poor behavior of polynomial interpolation in n equa...
AbstractWe derive a complex line integral representation for the Čebyshev norm of periodic spline in...
AbstractFor the derivatives of the Hermite polynomial interpolation of a function on the interval [a...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
AbstractPointwise error estimates are obtained for polynomial interpolants in the roots and extrema ...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of ...
AbstractThere are many investigations of Lagrange interpolation operators. In this paper, we study n...
Lp-approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of t...
AbstractWe generalize and make exact several well-known estimates concerning the over-convergence of...
AbstractThis paper establishes the fine and rough theory of Lagrange type interpolation of higher or...
AbstractBased on Peano kernel technique, explicit error bounds (optimal for the highest order deriva...
AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] w...
AbstractThe purpose of the paper is to investigate weighted Lp convergence of Lagrange interpolation...
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejér in...
AbstractWe present two results that quantify the poor behavior of polynomial interpolation in n equa...
AbstractWe derive a complex line integral representation for the Čebyshev norm of periodic spline in...
AbstractFor the derivatives of the Hermite polynomial interpolation of a function on the interval [a...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
AbstractPointwise error estimates are obtained for polynomial interpolants in the roots and extrema ...
AbstractWe examine how large the Lp norm on [−1, 1] of the derivative of a real algebraic polynomial...
AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of ...
AbstractThere are many investigations of Lagrange interpolation operators. In this paper, we study n...
Lp-approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of t...
AbstractWe generalize and make exact several well-known estimates concerning the over-convergence of...
AbstractThis paper establishes the fine and rough theory of Lagrange type interpolation of higher or...
AbstractBased on Peano kernel technique, explicit error bounds (optimal for the highest order deriva...
AbstractFor the Hermite (osculatory) polynomial interpolation of a function on the interval [a, b] w...
AbstractThe purpose of the paper is to investigate weighted Lp convergence of Lagrange interpolation...
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejér in...
AbstractWe present two results that quantify the poor behavior of polynomial interpolation in n equa...
AbstractWe derive a complex line integral representation for the Čebyshev norm of periodic spline in...
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