Results 191 to 200 of about 10,711,710 (246)

Fourier–Haar coefficients of continuous functions

Acta Mathematica Hungarica, 2011
Properties of Fourier–Haar coefficients of continuous functions are studied. It is established that Fourier–Haar coefficients of continuous functions are monotonic in a certain sense for convex functions. Questions of quasivariation of Fourier–Haar coefficients of continuous functions are also considered.
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Haar Measures and Modular Functions

2002
We assume a basic knowledge of measure theory on locally compact and Hausdorff topological spaces, which can be found in [73] by Royden and [74] by Rudin, among others.
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Analysis of Autocorrelation Function of Boolean Functions in Haar Domain

2016 International Conference on Computer and Communication Engineering (ICCCE), 2016
Design of strong symmetric cipher systems requires that the underlying cryptographic Boolean function meet specific security requirements. Some of the required security criteria can be measured with the help of the Autocorrelation function as a tool, while other criteria can be measured using the Walsh transform as a tool.
H.M. Rafiq, M.U. Siddiqi
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Improved Haar and Walsh functions over triangular domains

Journal of the Franklin Institute, 2010
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Wang, Ren-Hong, Dan, Wei
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Design of Haar wavelet transforms and Haar spectral transform decision diagrams for multiple-valued functions

Proceedings 31st IEEE International Symposium on Multiple-Valued Logic, 2002
In spectral interpretation, decision diagrams (DDs) are defined in terms of some spectral transforms. For a given DD, the related transform is determined by an analysis of expansion rules used in the nodes and the related labels of edges. The converse task, design of a DD in terms of a given spectral transform often requires decomposition of basic ...
R.S. Stankovic, M. Stankovic, C. Moraga
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Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model

Wave motion, 2021
Sapna Pandit
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On Fourier-Haar series of functions of bounded variation

Russian Mathematical Surveys, 1986
Let \(V\) be a normed space with respect to the norm \(\| f\|_ V=| f(0)| +^{1}_{0}(t),\) where \(^{1}_{0}(f)=\sup \sum^{\ell}_{k=1}| f(t_ k)-f(t_{k-1})|
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Stability of Refinable Functions, Multiresolution Analysis, and Haar Bases

SIAM Journal on Mathematical Analysis, 1996
Summary: The stability of the integer translates of a univariate refinable function is characterized in terms of the mask sequence in the corresponding \(k\)-scale \((k\geq 2)\) refinement equation. We show that the stability and refinement of some kinds of basis functions lead to a multiresolution analysis in \(L^p(\mathbb{R}^s)\) \((1\leq p\leq ...
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A Class of Haar Functions on Unit Disk

Journal of Image and Graphics, 2013
In order to investigate the effective circular image analysis method, a class of Haar functions defined on the unit disk, named as disk Haar Functions (DHFs), is introduced in this paper. Compared with traditional bivariate tensor product orthogonal functions (TPOFs), DHFs have great advantages in handling the circular images.
Wei Chen, Jian Li, Dongxu Qi
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Approximation ofMH q r -class functions by Haar polynomials

Mathematical Notes, 1999
Let \(1\leq p ...
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