EuDML | Browse

The present paper shows that for any $s$ sequences of real numbers, each with infinitely many distinct elements, $λ_{n}^{j}$ , j=1,...,s, the rational combinations of $x_{1}^{λ_{m_{1}}^{1}} x_{2}^{λ_{m_{2}}^{2}} . . . x_{s}^{λ_{m_{s}}^{s}}$ are always dense in $C_{I^{s}}$ .

On norms of factors of multivariate polynomials on convex bodies.

Kroó, András (2006)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On Optimal Extreme-Discrepancy Point Sets in the Square.

B.E. White (1976/1977)

Numerische Mathematik

On optimal triangular meshes for minimizing the gradient error.

E.F. D'Azevedo, R.B. Simpson (1991)

Numerische Mathematik

On polynomials of least deviation from zero in several variables.

Xu, Yuan (2004)

Experimental Mathematics

On Projection Constants of Polynomial Spaces on the Unit Ball in Several Variables.

Burkhard Sündermann (1984/1985)

Mathematische Zeitschrift

On some generalization of box splines

Zygmunt Wronicz (1999)

Annales Polonici Mathematici

We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and approximation of functions.

On the approximation by compositions of fixed multivariate functions with univariate functions

Vugar E. Ismailov (2007)

Studia Mathematica

The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.

On the Construction of Multi-Dimensional Embedded Cubature Formulae.

Ronald Cools, Ann Haegemans (1987)

Numerische Mathematik

On the control net of certain multivariate spline functions

Hans-Jörg Wenz (1994)

Acta Mathematica et Informatica Universitatis Ostraviensis

On the least squares fit by radial functions to multidimensional scattered data.

J.D. Ward, N. Sivakumar (1993)

Numerische Mathematik

On the local linear independence of translates of a box spline

Wolfgang Dahmen, Charles Micchelli (1985)

Studia Mathematica

On the order of approximation of functions by the bidimensional operators Favard-Szász-Mirakyan.

Taşcu, Ioana, Buie, Anca (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On the Uniform Norm of an Arbitrary Coefficient Functional over Finite Dimensional Subspaces of C (D).

Manfred Reimer (1983)

Mathematische Zeitschrift

Optimal Addition of Knots to Cubature Formulae for Planar Regions.

Ronald Cools, Ann Haegemans (1986)

Numerische Mathematik

Optimal Cycles in Doubly Weighted Graphs and Approximation of Bivariate Functions by Univariate Ones.

M.von Golitschek (1982)

Numerische Mathematik

Optimality of the range for which equivalence between certain measures of smoothness holds

Z. Ditzian (2010)

Studia Mathematica

Recently it was proved for 1 < p < ∞ that $ω^{m} {(f, t)}_{p}$ , a modulus of smoothness on the unit sphere, and $K ̃ ₘ {(f, t^{m})}_{p}$ , a K-functional involving the Laplace-Beltrami operator, are equivalent. It will be shown that the range 1 < p < ∞ is optimal; that is, the equivalence $ω^{m} {(f, t)}_{p} \approx K ̃ ₘ {(f, t^{r})}_{p}$ does not hold either for p = ∞ or for p = 1.

Currently displaying 101 – 120 of 184

Previous Page 6 Next