Results 51 to 60 of about 33,958 (245)
On a measure of non-compactness for singular integrals
Journal of Function Spaces and Applications, 2003 It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below.
Alexander Meskhi
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On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space
Applied Mathematics in Science and Engineering, 2022 In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces.
F. G. Abdullayev, M. Imashkyzy
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Inequalities with angular integrability and applications [PDF]
, 2013 We prove an extension of the Stein-Weiss weighted estimates for fractional integrals, in the context of Lp spaces with different integrability properties in the radial and the angular direction.
Lucà, Renato
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A Note on Noneffective Weights in Variable Lebesgue Spaces [PDF]
Journal of Function Spaces and Applications, 2012 We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show thatLp(⋅)(Ω)=Lωp(⋅)(Ω)if and only ifω(x)1/p(x)~constantin the set wherep(⋅)<∞, andω(x)~constantin the set wherep(⋅)=∞.
FIORENZA, ALBERTO, M. Krbec
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Ensemble Kalman filter in latent space using a variational autoencoder pair
Quarterly Journal of the Royal Meteorological Society, EarlyView.The use of the ensemble Kalman filter (EnKF) in strongly nonlinear or constrained atmospheric, oceanographic, or sea‐ice models can be challenging. Applying the EnKF in the latent space of a variational autoencoder (VAE) ensures that the ensemble members satisfy the balances and constraints present in the model.
Ivo Pasmans +4 more
wiley +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
Coevolutionary Neural Dynamics With Learnable Parameters for Nonconvex Optimisation
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Nonconvex optimisation plays a crucial role in science and industry. However, existing methods often encounter local optima or provide inferior solutions when solving nonconvex optimisation problems, lacking robustness in noise scenarios. To address these limitations, we aim to develop a robust, efficient and globally convergent solver for ...
Yipiao Chen +3 more
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Stochastic collocation on unstructured multivariate meshes
, 2015 Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
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AGT: Efficient Offline Reinforcement Learning With Advantage‐Guided Transformer
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Offline reinforcement learning (RL) is a paradigm that seeks to train policies directly based on fixed datasets derived from previous interactions with the environment. However, offline RL faces critical challenges in environments characterised by sparse rewards and datasets dominated by suboptimal trajectories.
Jiaye Wei +4 more
wiley +1 more source
Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces
AxiomsThis paper aims to develop exchange formulae for the Stieltjes–Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding
Hari M. Srivastava +2 more
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