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The Lebesgue Constant for Sinc Approximations

2014
Let Λ n denote the Lebesgue constant for Sinc approximation using n consecutive terms of the Sinc expansion of a function f. In this contribution we derive explicit values of a and b and the expression \(\varLambda_{n} = a\,\log (n) + b + \mathcal{O}(1/n^{2})\).
Frank Stenger   +2 more
openaire   +1 more source

Parallel State Fusion LSTM-based Early-cycle Stage Lithium-ion Battery RUL Prediction Under Lebesgue Sampling Framework

Reliability Engineering and System Safety, 2023
Guangzheng Lyu, Heng Zhang, Qiang Miao
exaly  

Lebesgue constants in polynomial interpolation

2006
Summary: Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the function at a number of chosen points (the 'nodes'). However, the accuracy of the approximation is greatly influenced by the location of these nodes.
openaire   +2 more sources

Optimal Lebesgue constants on the square

2020
Si mostrano le condizioni sufficienti per avere costanti di Lebesgue ottimali (anche pesate) per l'approssimazione polinomiale discreta di una funzione di due variabili, nota su una griglia di zeri di Jacobi. Si considera sia l'interpolazione bivariata di Lagrange che l'approssimazione generalizzata di tipo de la Vallée Poussin, ottenuta mediante una ...
D Occorsio, W Themistoclakis
openaire   +2 more sources

Lebesgue Constants Determined by Extremal Sets

1984
Let \( - 1 \leq {\text{x}}_{\text{0}}^{\text{n}} < {\text{x}}_1^{\text{n}} < \ldots < {\text{x}}_{\text{n}}^{\text{n}} < {\text{x}}_{\text{n+ 1}} ^{\text{n}} \leq 1 \) be n + 2 points in the interval I = [−1, 1]. Then $$ {{\rm{X}}_{\rm{n}}} = \left\{ {{\rm{x}}_{\rm{i}}^{\rm{n}}} \right\}_{{\rm{i = 0}}}^{{\rm{n}} + 1} $$ (1.1)
openaire   +1 more source

Lebesgue constants of polyhedra

Mathematical Notes of the Academy of Sciences of the USSR, 1982
openaire   +2 more sources

Fourier Constants and Lebesgue Classes

Proceedings of the London Mathematical Society, 1935
openaire   +2 more sources

On small Lebesgue spaces

Journal of Function Spaces, 2005
Claudia Capone, Alberto Fiorenza
exaly  

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