Results 31 to 40 of about 81 (80)

APPROXIMATION ON THE SPHERE USING RADIAL BASIS FUNCTIONS PLUS POLYNOMIALS

open access: yes, 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

On a modified operator associated with x 4/3: asymptotic analysis and improved order of approximation

open access: yesDemonstratio Mathematica
In this work, we introduce a new operator M n, constructed using a partial differential equation, that is structurally similar to that of the exponential-type operator G n associated with p(x) = x 4/3, x ∈ (0, ∞). However, unlike G n, the operator M n is
Gupta Vijay   +2 more
doaj   +1 more source

Approximation by Radial Basis Functions with Finitely Many Centers

open access: yes, 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

open access: yes, 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  

Joint discrete universality for periodic zeta-functions

open access: yes, 2019
In the paper, joint universality theorems for periodic zeta functions with multiplicative coefficients and periodic Hurwitz zeta-functions are proved. The main theorem of [11] is extended, and two new joint universality theorems on the approximation of a
Laurinčikas, Antanas
core  

Multiresolution analysis by infinitely differentiable compactly supported functions

open access: yes, 1995
[he paper is concerned with the introduction and study of multiresolution analysis based on thie uip function, which is an infinitely differentiable function supported on [0,2]. Such analysis i,. necessarily, nonstationary.
N. Dyn, A. Ron
core  

On Dual Wavelet Tight Frames

open access: yes, 1995
A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton's result on wavelet tight frames in L (IR) is generalized to the n-dimensional case.
Bin Han
core  

Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2023
Anastassiou GA, Karateke S.
europepmc   +1 more source

Interpolating Refinable Functions And Wavelets For General Scaling Matrices

open access: yes, 1997
This paper introduces a general procedure for constructing interpolating re- nable functions for arbitrary dilation matrices. The key ideas are based on the construction presented in [24].
Stephan Dahlke   +3 more
core  

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