Inequalities for the Interpolation Points in Chebyshev Approximation by Polynomials.
Inequalities of Ostrowski type and applications in numerical integration.
Inequalities of Ostrowski-Grüss type and applications
Some new inequalities of Ostrowski-Grüss type are derived. They are applied to the error analysis for some Gaussian and Gaussian-like quadrature formulas.
Inf-convolution spline pour l'approximation de données discontinues
Inferior and superior sets with respect to an arbitrary set from used in the multidimensional interpolation theory.
Infinite matrices, wavelet coefficients and frames.
Inhomogenous RefinementEquations.
Integrability and continuity of functions represented by trigonometric series: coefficients criteria
We study weighted -integrability (1 ≤ p < ∞) of trigonometric series. It is shown how the integrability of a function with weight depends on some regularity conditions on Fourier coefficients. Criteria for the uniform convergence of trigonometric series in terms of their coefficients are also studied.
Integral inequalities of the Ostrowski type.
Integral Kernels and Approximation on Totally Real Submanifolds of Cn.
Integral representations for Padé-type operators.
Integration of polynomials
We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.
Integration over a Simplex, Truncated Cubes, and Eulerian Numbers.
Intégrité du complété et théorème de Stone-Weierstrass
Interpolace — vývoj formulace problému a jeho řešení
Interpolación, eliminación y matrices totalmente positivas.
Interpolación funcional en Rn.
Interpolants d’Hermite obtenus par subdivision
Interpolants d'Hermite C2 obtenus par subdivision
We propose a two point subdivision scheme with parameters to draw curves that satisfy Hermite conditions at both ends of [a,b]. We build three functions f,p and s on dyadic numbers and, using infinite products of matrices, we prove that, under assumptions on the parameters, these functions can be extended by continuity on [a,b], with f'=p and f''=s .
Interpolating and smoothing biquadratic spline
The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic splines and...