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Orthogonality criteria for compactly supported refinable functions and refinable function vectors

open access: yesJournal of Fourier Analysis and Applications, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeffrey Lagarias
exaly   +3 more sources
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Refinable Function Vectors

SIAM Journal on Mathematical Analysis, 1998
Dependence of properties of refinable function vectors on their refinement masks is studied. In particular, necessary and sufficient conditions for the convergence of cascade algorithms, for the stability and orthonormality of refinable vectors are found.
Zuowei Shen
exaly   +3 more sources

Refinements of Jessen’s Functional

Ukrainian Mathematical Journal, 2016
In this paper we obtain new refinements of Jessen's functional, defined by means of positive linear functionals. Derived results are then applied to weighted generalized and power means. We also obtain new refinements of numerous classical inequalities such as arithmetic-geometric mean inequality, Young's inequality and Holder's inequality.
Barbir, Ana   +2 more
openaire   +2 more sources

Refinable functions, functionals, and iterated function systems

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Calabrò   +3 more
openaire   +2 more sources

A criterion for orthogonality of refinable functions

Applied Mathematics-A Journal of Chinese Universities, 2001
This paper gives, a characterization for the orthonormality of matrix polynomials in refinable equations in multi-scale analysis.
Bi, Ning, Huang, Daren
openaire   +2 more sources

Capabilities, Functionings and Refined Functionings

Journal of Human Development, 2006
Sen's theory of capabilities is often presented as more comprehensive than an approach in terms of achievements (functionings) because it takes account of freedom and it contains at least as much information. This paper questions the last argument and argues that both kinds of consideration (freedom, comprehensive information) justify an approach in ...
openaire   +2 more sources

Refinable Functions: Positivity and Interpolation

Analysis and Applications, 2003
This paper examines two properties of refinable functions. The first provides conditions under which a refinable function is strictly positive and the other presents a conjecture about cardinal interpolation by refinable functions. The conjecture is supported by some analysis and also computation.
Micchelli, Charles A., Zhou, Ding-Xuan
openaire   +1 more source

Approximation by Multiple Refinable Functions

Canadian Journal of Mathematics, 1997
AbstractWe consider the shift-invariant space, 𝕊(Φ), generated by a set Φ = {Φ1,..., Φr} of compactly supported distributions on R when the vector of distributions ϕ:= {Φ1,..., Φr} T satisfies a system of refinement equations expressed in matrix form aswhere a is a finitely supported sequence of r x r matrices of complex numbers.
Jia, R. Q.   +2 more
openaire   +1 more source

On the volume of sets bounded by refinable functions

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Hakenberg, Ulrich Reif
openaire   +1 more source

Generalized Pseudo-Butterworth Refinable Functions

Journal of Fourier Analysis and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Zhongxuan   +3 more
openaire   +1 more source

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