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Real Interpolation method, Lorentz spaces and refined Sobolev inequalities
Journal of Functional Analysis, 2012 In this article we give a straightforward proof of refined inequalities between Lorentz spaces and Besov spaces and we generalize previous results of H. Bahouri and A. Cohen.
Chamorro, Diego +1 more
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Reiteration Theorems for Two-Parameter Limiting Real Interpolation Methods [PDF]
Journal of Function Spaces, 2016 We introduce a limiting real interpolation method involving two scalar parameters. We derive Holmstedt-type estimates for this method that are applied to establish the reiteration theorems.
Irshaad Ahmed, Tuba Ejaz
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Experimental verification of the interpolation method on a real damaged bridge [PDF]
Journal of Physics: Conference Series, 2015 The identification of damage in a bridge from changes in its vibrational behavior is an inverse problem of important practical value. Significant advances have been obtained on this topic in the last two-three decades, both from the theoretical and ...
Limongelli, M. P, Morassi, Antonino
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Stein interpolation for the real interpolation method [PDF]
Banach Journal of Mathematical Analysis, 2021 AbstractWe prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex formulation, we prove Stein interpolation for the real interpolation method.
Nick Lindemulder, Emiel Lorist
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An efficient and accurate interpolation method for parametric curve machining
Scientific Reports, 2022 A subsection interpolation method based on the curve curvature threshold is proposed to resolve the incompatible problem of machining accuracy and machining efficiency in parametric curve machining.
Juan Wei +4 more
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Detection and Reconstruction of Poor-Quality Channels in High-Density EMG Array Measurements
Sensors, 2023 High-density electromyography (HD-EMG) arrays allow for the study of muscle activity in both time and space by recording electrical potentials produced by muscle contractions.
Emma Farago, Adrian D. C. Chan
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Acceleration of optical coherence tomography signal processing by multi-graphics processing units [PDF]
Journal of Innovative Optical Health Sciences, 2014 A multi-GPU system designed for high-speed, real-time signal processing of optical coherence tomography (OCT) is described herein. For the OCT data sampled in linear wave numbers, the maximum processing rates reached 2.95 MHz for 1024-OCT and 1.96 MHz ...
Xiqi Li +3 more
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Regular matrix methods of summability and real interpolation
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2021 Summary: We show that the Banach-Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin-Prikry theorem [\textit{F. Galvin} and \textit{K. Prikry}, J. Symb. Log.
Kryczka, Andrzej, Kurlej, Konrad
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Interpolation between 𝐻^{𝑝} spaces: the real method [PDF]
Transactions of the American Mathematical Society, 1974 The interpolation spaces in the Lions-Peetre method between H p {H^p} spaces, 0 > p > ∞ 0 > p > \infty , are calculated.
C. Fefferman, N. M. Rivière, Y. Sagher
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The problem of trigonometric Fourier series multipliers of classes in λp,q spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this article, we consider weighted spaces of numerical sequences λp,q, which are defined as sets of sequences a = {ak}∞k=1, for which the norm ||a||λp,q := (∞Σk=1|ak|qkq/p −1)1/q < ∞ is finite. In the case of non-increasing sequences, the norm of the
A. Bakhyt, N.T. Tleukhanova
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