A Hermite interpolatory subdivision scheme for $C^2$-quintics on the Powell-Sabin 12-split [PDF]
, 2014 In order to construct a $C^1$-quadratic spline over an arbitrary triangulation, one can split each triangle into 12 subtriangles, resulting in a finer triangulation known as the Powell-Sabin 12-split.
Lyche, Tom, Muntingh, Georg
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Optimal B-spline bases for the numerical solution of fractional differential problems [PDF]
, 2018 Efficient numerical methods to solve fractional differential problems are particularly required in order to approximate accurately the nonlocal behavior of the fractional derivative.
Pitolli, Francesca
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Interpolating refinable function vectors with reflection properties
Journal of Computational and Applied Mathematics, 2016 A refinable function vector \(\Phi=(\phi_1,\ldots,\phi_r)^T\) satisfies an refinement equation: \[ \Phi(x)=N\sum_{k\in \mathbb{Z}} P_k \Phi(Nx-k) \] for a finitely supported sequence \(\{P_k\}_{k\in \mathbb{Z}}\) and a positive integer \(N>1\). In this paper, the authors consider a special family of refinable function vectors \(\Phi\) having the ...
Choi, Youngwoo, Jung, Jaewon
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Strong Successive Refinability and Rate-Distortion-Complexity Tradeoff
, 2016 We investigate the second order asymptotics (source dispersion) of the successive refinement problem. Similarly to the classical definition of a successively refinable source, we say that a source is strongly successively refinable if successive ...
Ingber, Amir +2 more
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Approximation Order Provided by Refinable Function Vectors
Constructive Approximation, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetric interpolatory dual wavelet frames [PDF]
, 2014 For any symmetry group $H$ and any appropriate matrix dilation we give an explicit method for the construction of $H$-symmetric refinable interpolatory refinable masks which satisfy sum rule of arbitrary order $n$.
Krivoshein, A. V.
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Refinements on Gap Functions and Optimality Conditions for Vector Quasi-Equilibrium Problems via Image Space Analysis [PDF]
Journal of Optimization Theory and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Jun, Mastroeni, Giandomenico
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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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A REFINEMENT OF GRÜSS TYPE INEQUALITY FOR THE BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES AND APPLICATIONS [PDF]
Journal of the Korean Mathematical Society, 2006 A refinement of Gruss type inequality for the Bochner integral of vector-valued functions in real or complex Hilbert spaces is given. Related results are obtained. Application for finite Fourier transforms of vector-valued functions and some particular inequalitites are provided.
Buşe, Constantin +3 more
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Complete measurements of quantum observables
, 2012 We define a complete measurement of a quantum observable (POVM) as a measurement of the maximally refined version of the POVM. Complete measurements give information from the multiplicities of the measurement outcomes and can be viewed as state ...
A.S. Holevo +20 more
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