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Interpolating Sequences for QA B
Transactions of the American Mathematical Society, 1983Let B be any intermediate closed algebra between \(H^{\infty}\) and \(L^{\infty}({\mathbb{T}})\), i.e. B is a Douglas algebra. The algebra \(Q_ B=\bar B\cap B\) is closely related to B and admits a description in terms of vanishing mean oscillation. One can consider the algebra \(QA_ B=H^{\infty}\cap \bar B\) which consists of the functions in \(Q_ B\)
Sundberg, Carl, Wolff, Thomas H.
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On Minimax Interpolation of Stationary Sequences
Cybernetics and Systems Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masyutka, O. Yu., Moklyachuk, M. P.
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Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models
International Conference on Learning RepresentationsDiffusion language models offer unique benefits over autoregressive models due to their potential for parallelized generation and controllability, yet they lag in likelihood modeling and are limited to fixed-length generation.
Marianne Arriola +7 more
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Interpolation of cinematic sequences
[1992] Proceedings IEEE Workshop on Applications of Computer Vision, 2003Presents a new algorithm for interframe interpolation of cinematic sequences. The authors demonstrate its applicability to video data compression of pedestrian traffic and data compression for video conferencing. In both of these applications it is assumed that the background is nearly stationary and that there are no interobject occlusions.
J. Ribas-Corbera, J. Sklansky
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Newton interpolation using $$\Re $$-Leja sequences
BIT Numerical Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Necessary Conditions for Interpolating Sequences
Bulletin of the London Mathematical Society, 1997We introduce several successively weaker conditions which are all necessary for a sequence in the unit ball to be interpolating for the space of bounded holomorphic functions, that is to say, that given any bounded sequences of complex numbers, there exists a function holomorphic and bounded in the unit ball of \(\mathbb{C}^n\) assuming the given ...
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Separated sequences and interpolation
Studia MathematicaSummary: We introduce the notion of \(\nu \)-separated increasing sequences \(\{x_n\}_{n=1}^{\infty}\). We establish that interpolation problems of the kind \(\varphi ( x_n) =z_n\) have solutions \(\varphi \in \mathcal{S}( \mathbb{R})\) for all sequences \(\{z_n\}\) of rapid decay in the sense that \(z_n=o( x_n^{-\alpha})\) for all \(\alpha > 0\) if ...
Ahuja, Jiten +3 more
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Interpolation between sequence transformations
Numerical Algorithms, 1992It was found recently that Levin's transformation fails completely in convergence acceleration and summation processes, in the case of the strongly divergent Rayleigh-Schrödinger and renormalized perturbation expansions for the ground state energies of anharmonic oscillators, whereas the structurally very similar sequence transformation gives very good
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Minimax interpolation of harmonizable sequences
Theory of Probability and Mathematical Statistics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moklyachuk, M. P., Ostapenko, V. I.
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Sequences for DFT interpolation
[1991 Proceedings] 6th Mediterranean Electrotechnical Conference, 2002The interpolation sequences needed for cascade structures are considered. First, the optimal sequences based on half-band filters are examined. The sequences with integer coefficients are then studied. The interpolation algorithm is reviewed, and the required number of multiplications is determined for half-band filters and compared with pruning and ...
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