Results 21 to 30 of about 73 (72)
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
Stability results for approximation by positive definite functions on compact groups
, 2008 We consider interpolation methods defined by positive definite functions on a compact group. Estimates for the smallest and largest eigenvalue of the interpola- tion matrix in terms of the localization of the positive definite function on G are ...
Filbir, Frank +5 more
core +1 more source
Summability Methods in Weighted Approximation to Derivatives of Functions [PDF]
, 2015 In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence in the approximation.
Duman, Oktay, Küçük, Nisa
core
Joint discrete universality for periodic zeta-functions. II
, 2021 In the paper, for certain classes of operators F in the space of analytic functions, we prove the discrete universality for compositions F (ζ(s, α ; , )), where ζ(s, α ; ;
Laurinčikas, Antanas
core
Approximate Approximations for the Poisson and the Stokes Equations [PDF]
, 2008 The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R n ...
Tatiana S Samrowski, Werner Varnhorn
core
APPROXIMATION ON THE SPHERE USING RADIAL BASIS FUNCTIONS PLUS POLYNOMIALS
, 2008 . In this paper we analyse a hybrid approximation of functions on the sphere S 2 ⊂ R 3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be generated by a (strictly) positive definite kernel.
Alvise Sommariva +3 more
core +1 more source
Approximation by Radial Basis Functions with Finitely Many Centers
, 1996 : Interpolation by translates of "radial" basis functions \Phi is optimal in the sense that it minimizes the pointwise error functional among all comparable quasi--interpolants on a certain "native" space of functions F \Phi .
Schaback, Robert, Robert Schaback
core +1 more source
On the degree of approximation by new Durrmeyer type operators 1
, 2010 In this paper, we define a new kind of positive linear operators and study basic properties as well as Voronovskaya type results. In the last section of this paper we establish the error estimation for simultaneous approximation in terms of higher order ...
Suresh P Singh, Naokant Deo
core