Results 21 to 30 of about 10,821,939 (327)

Some Results on a New Refinable Class Suitable for Fractional Differential Problems

Fractal and Fractional, 2022
In recent years, we found that some multiscale methods applied to fractional differential problems, are easy and efficient to implement, when we use some fractional refinable functions introduced in the literature.
Laura Pezza, Luca Tallini
doaj   +1 more source

Fractional Dynamical Systems Solved by a Collocation Method Based on Refinable Spaces

Axioms, 2023
A dynamical system is a particle or set of particles whose state changes over time. The dynamics of the system is described by a set of differential equations. If the derivatives involved are of non-integer order, we obtain a fractional dynamical system.
Laura Pezza, Simmaco Di Lillo
doaj   +1 more source

A Class of Weak Dual Wavelet Frames for Reducing Subspaces of Sobolev Spaces

Journal of Function Spaces, 2022
In recent years, dual wavelet frames derived from a pair of refinable functions have been widely studied by many researchers. However, the requirement of the Bessel property of wavelet systems is always required, which is too technical and artificial. In
Jianping Zhang
doaj   +1 more source

Geometric convergence rates for cardinal spline subdivision with general integer arity

Journal of Numerical Analysis and Approximation Theory, 2019
A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject.
Johan de Villiers, Mpafereleni Rejoyce Gavhi-Molefe   +1 more
doaj   +7 more sources

Refinement equations and spline functions [PDF]

Advances in Computational Mathematics, 2008
In this paper, we exploit the relation between the regularity of refinable functions with non-integer dilations and the distribution of powers of a fixed number modulo 1, and show the nonexistence of a non-trivial {\bf C}^{\infty} solution of the refinement equation with non-integer dilations.
Dubickas, Artūras, Xu, Zhiqiang
openaire   +2 more sources

Uniformly refinable maps

Applied General Topology, 2023
We introduce the notion of uniformly refinable map for compact, Hausdorff spaces, as a generalization of refinable maps originally defined for metric continua by Jo Ford (Heath) and Jack W. Rogers, Jr., Refinable maps, Colloq. Math., 39 (1978), 263-269.
Sergio Macías
doaj   +1 more source

Refinable Trapezoidal Method on Riemann–Stieltjes Integral and Caputo Fractional Derivatives for Non-Smooth Functions

Fractal and Fractional, 2023
The Caputo fractional α-derivative ...
Gopalakrishnan Karnan, Chien-Chang Yen
doaj   +1 more source

Totally positive refinable functions with general dilation M [PDF]

, 2017
We construct a new class of approximating functions that are M-refinable and provide shape preserving approximations. The refinable functions in the class are smooth, compactly supported, centrally symmetric and totally positive.
GORI, Laura, PITOLLI, Francesca
core   +1 more source

A family of nonseparable scaling functions and compactly supported tight framelets [PDF]

, 2013
Given integers b and d, with d>1 and |b|>1, we construct even nonseparable compactly supported refinable functions with dilation factor bb that generate multiresolution analyses on L2(Rd).
San Antolín Gil, Ángel, Zalik, Richard A.   +1 more
core   +2 more sources

Construction of a family of non-stationary biorthogonal wavelets

Journal of Inequalities and Applications, 2019
The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members.
Baoxing Zhang, Hongchan Zheng, Jie Zhou, Lulu Pan   +3 more
doaj   +1 more source