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Compensated convexity methods for approximations and interpolations of sampled functions in euclidean spaces: Applications to contour lines, sparse data, and inpainting
(Society for Industrial and Applied Mathematics Publications, 2018-10)
This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, and A. Orlando, SIAM J. Math. Anal., 48 (2016), pp. ...
Localisation techniques for division in Douglas algebras
(Royal Irish Academy, 2001-10)
In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation ...
Approximation by group invariant subspaces
(Gauthier-Villars/Editions Elsevier, 2020-10)
In this article we study the structure of Γ-invariant spaces of L2(S). Here S is a second countable LCA group. The invariance is with respect to the action of Γ, a non commutative group in the form of a semidirect product ...
Exploring non-adiabatic approximations to the exchange-correlation functional of TDDFT
(Royal Society of Chemistry, 2018-09)
A decomposition of the exact exchange-correlation potential of time-dependent density functional theory into an interaction component and a kinetic component offers a new starting point for non-adiabatic approximations. ...
Extension of the Best Constant Approximation Operator in Orlicz Spaces
(Taylor & Francis, 2020-04)
In this article we deal with the best φ-approximation operator by constants extended from an Orlicz space Lφ(Ω) to the space Lψ+ (Ω) where ψ+ denotes the right derivative of the function φ. We obtain pointwise convergence ...
Low-Complexity Channel Prediction Using Approximated Recursive DCT
(Institute of Electrical and Electronics Engineers, 2011-07-14)
We present a novel channel estimator/predictor for OFDM systems over time-varying channels using a recursive formulation of a basis expansion model (BEM) based on an approximated discrete cosine transform (DCT). We derive ...
Approximation classes for adaptive time-stepping finite element methods
(Cornell University, 2021-03)
We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDE). We measure the approximation error in L2([0, T) × Ω) and consider the approximation ...
Maximal Inequalities for the best polynomial approximation operators and Simonenko indices
(Global Science Journal, 2017-09)
In an abstract set up, we get strong type inequalities in L^p+1 by assuming weak or extra-weak inequalitie in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results ...
An Approximation Scheme for Uncertain Minimax Optimal Control Problems
(Springer, 2018-12)
In this work, we address an uncertain minimax optimal control problem with linear dynamics where the objective functional is the expected value of the supremum of the running cost over a time interval. By taking an ...
Quasi-chemical approximation for polyatomic mixtures
(Royal Society of Chemistry, 2016-07)
The statistical thermodynamics of binary mixtures of polyatomic species was developed based on a generalization in the spirit of the lattice-gas model and the quasi-chemical approximation (QCA). The new theoretical framework ...