Results 21 to 30 of about 81 (80)
Summability Methods in Weighted Approximation to Derivatives of Functions [PDF]
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 +1 more source
Approximation by weighted means of Walsh‐Fourier series
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
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
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
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, F. +3 more
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Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
wiley +1 more source
Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators
In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay +2 more
wiley +1 more source
Joint discrete universality for periodic zeta-functions. II
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
A Wavelet Toolbox for Large Scale Image Processing [PDF]
. The wavelet transform has proven to be a valuable tool for image processing applications, like image compression and noise reduc-tion. In this paper we present a scheme to process very large images that do not t in the memory of a single computer ...
Geert Uytterhoeven +5 more
core +1 more source
Approximate Approximations for the Poisson and the Stokes Equations [PDF]
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

