Results 31 to 40 of about 3,057 (141)
The limits of refinable functions [PDF]
Transactions of the American Mathematical Society, 2001 Summary: A function \(\phi\) is refinable (\(\phi \in S\)) if it is in the closed span of \(\{\phi(2x-k)\}\). This set \(S\) is not closed in \(L_{2}(\mathbb{R})\), and we characterize its closure. A necessary and sufficient condition for a function to be refinable is presented without any information on the refinement mask.
Strang, Gilbert, Zhou, Ding-Xuan
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Piecewise-smooth refinable functions [PDF]
St. Petersburg Mathematical Journal, 2005 Summary: Univariate piecewise-smooth refinable functions (i.e., compactly supported solutions of the equation \(\varphi(\frac x2)=\sum^N_{k=0} c_k\varphi(x-k))\) are classified completely. Characterization of the structure of refinable splines leads to a simple convergence criterion for the subdivision schemes corresponding to such splines, and to ...
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Gauss Quadrature for Refinable Weight Functions
Applied and Computational Harmonic Analysis, 2000 A refineable function \(\phi\) is a solution of a two-scale difference equation \[ \phi(x)= \sum_{j\in\mathbb{Z}} a_j\phi(2x- j), \] where \(a_j\) are real numbers satisfying \[ \sum_{j\in\mathbb{Z}} a_{k+ 2j}= 1,\quad\text{all }k\in\mathbb{Z}. \] The authors study Gaussian quadrature rules having refineable functions as weight functions.
Gautschi, Walter +2 more
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Successive Refinement of Abstract Sources [PDF]
, 2018 In successive refinement of information, the decoder refines its representation of the source progressively as it receives more encoded bits. The rate-distortion region of successive refinement describes the minimum rates required to attain the target ...
Kostina, Victoria, Tuncel, Ertem
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Nanoscale clusters in the high performance thermoelectric AgPbmSbTem+2
, 2005 The local structure of the AgPbmSbTem+2 series of thermoelectric materials has been studied using the atomic pair distribution function (PDF) method. Three candidate-models were attempted for the structure of this class of materials using either a one ...
E. S. Božin +7 more
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The Sobolev Regularity of Refinable Functions
Journal of Approximation Theory, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ron, A., Shen, Z.
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Regularity of Butterworth refinable functions [PDF]
Asian Journal of Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Aihua, Sun, Qiyu
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Refinable Functions with Compact Support
Journal of Approximation Theory, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Refinements of Fejér’s inequality for convex functions [PDF]
Periodica Mathematica Hungarica, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tseng, Kuei-Lin +2 more
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FitSpec: refining property sets for functional testing [PDF]
Proceedings of the 9th International Symposium on Haskell, 2016 This paper presents FitSpec, a tool providing automated assistance in the task of refining sets of test properties for Haskell functions. FitSpec tests mutant variations of functions under test against a given property set, recording any surviving mutants that pass all tests.
Runciman, Colin, Braquehais, Rudy
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