Results 21 to 30 of about 422 (43)
Lp‐inverse theorem for modified beta operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 20, Page 1295-1303, 2003., 2003 We obtain a converse theorem for the linear combinations of modified beta operators whose weight function is the Baskakov operators. To prove our inverse theorem, we use the technique of linear approximating method, namely, Steklov mean.
Vijay Gupta +2 more
wiley +1 more source
Tensor product approximations of high dimensional potentials [PDF]
, 2009 The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this approach with modern methods of structured tensor product approximations.
Lanzara, Flavia +2 more
core +3 more sources
Solution of time‐varying singular nonlinear systems by single‐term Walsh series
Mathematical Problems in Engineering, Volume 2003, Issue 3, Page 129-136, 2003., 2003 A method for finding the solution of time‐varying singular nonlinear systems by using single‐term Walsh series is proposed. The properties of single‐term Walsh series are given and are utilized to find the solution of time‐varying singular nonlinear systems.
B. Sepehrian, M. Razzaghi
wiley +1 more source
Extension of the best approximation operator in Orlicz spaces and weak‐type inequalities
Abstract and Applied Analysis, Volume 6, Issue 2, Page 101-114, 2001., 2001 We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak‐type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces.
Sergio Favier, Felipe Zò
wiley +1 more source
Approximation by weighted means of Walsh‐Fourier series
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 1-8, 1996., 1995 We study the rate of approximation to functions in Lp and, in particular, in Lip(α, p) by weighted means of their Walsh‐Fourier series, where α > 0 and 1 ≤ p ≤ ∞. For the case p = ∞, Lp is interpreted to be CW, the collection of uniformly W continuous functions over the unit interval [0, 1). We also note that the weighted mean kernel is quasi‐positive,
F. Móricz, B. E. Rhoades
wiley +1 more source
On the lower semi‐continuity of the set valued metric projection
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 455-463, 1992., 1991 The lower semi‐continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub‐function modules of function modules is proved. The order intersection properties of cells are studied and used to prove the above results.
Fowzi Ahmad Sejeeni
wiley +1 more source
Uniform approximation by incomplete polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 407-420, 1978., 1978 For any θ with 0 < θ < 1, it is known that, for the set of all incomplete polynomials of type θ, i.e, , to have the Weierstrass property on [aθ, 1], it is necessary that In this paper, we show that the above inequalities are essentially sufficient as well.
E. B. Saff, R. S. Varga
wiley +1 more source
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
core +1 more source
Wendland functions with increasing smoothness converge to a Gaussian
, 2013 The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A. +2 more
core +1 more source
, 2007 The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural function
F.J. Narcowich +8 more
core +1 more source