A Monte Carlo Method for High Dimensional Integration.
A multidimensional Taylor's theorem with minimal hypothesis
A multiple integral evaluation inspired by the multi-WZ method.
A New Algorithm for Osculatory Rational Interpolation.
A new approach to nonlinear singular integral operators depending on three parameters
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: T λ ( f ; x , y ) = ∬ R 2 ( t − x , s − y , f ( t , s ) ) d s d t , ( x , y ) ∈ R 2 , λ ∈ Λ , where Λ is a set of non-negative numbers with accumulation point λ0.
A New Characterization of Weighted Peetre K-Functionals (II)
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the classical moduli of smoothness taken on a proper linear transforms of the function. The weights with power-type asymptotic at the ends of the interval with arbitrary real exponents are considered. This paper extends the method and results presented...
A new estimate on the rate of convergence of Durrmeyer–Bézier operators.
A new exceptional polynomial for the integer transfinite diameter of
Using refinement of an algorithm given by Habsieger and Salvy to find integer polynomials with smallest sup norm on [0, 1] we extend their table of polynomials up to degree 100. For the degree 95 we find a new exceptionnal polynomial which has complex roots. Our method uses generalized Müntz-Legendre polynomials. We improve slightly the upper bound for the integer transfinite diameter of [0, 1] and give elementary proofs of lower bounds for the exponents of some critical polynomials.
A new formal approach to the rational interpolation problem.
A new generating function of (-) Bernstein-type polynomials and their interpolation function.
A new H(div)-conforming p-interpolation operator in two dimensions
In this paper we construct a new H(div)-conforming projection-based p-interpolation operator that assumes only Hr(K) -1/2(div, K)-regularity (r > 0) on the reference element (either triangle or square) K. We show that this operator is stable...
A new H(div)-conforming p-interpolation operator in two dimensions
In this paper we construct a new H(div)-conforming projection-based p-interpolation operator that assumes only Hr(K) -1/2(div, K)-regularity (r > 0) on the reference element (either triangle or square) K. We show that this operator is stable with...
A new kind of error bounds for some quadrature rules.
A new method for the nonlinear approximation of signals. I. The optimal damping factor
A new method for the nonlinear approximation of signals. II. The convergence problem
A new proof of some inequality connected with quadratures.
A Newton approach to bivariate Hermite interpolation on generalized natural lattices.
Un retículo natural es el conjunto de todas las intersecciones de un conjunto de rectas del plano en posición general. El problema de interpolación de Lagrange sobre un retículo natural de n + 2 rectas tiene solución única en el espacio de los polinomios bivariados de grado menor o igual que n. Un retículo natural generalizado está formado por todas las intersecciones de un conjunto de rectas distintas, sin excluir paralelismos o concurrencias múltiples. A un retículo natural generalizado le asociamos...
A nodal spline interpolant for the Gregory rule of even order.
A non local quantitative characterization of ellipses leading to a solvable differential relation.
A non-Chebyshev finite-dimensional subspace in