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The Lebesgue Constant for Sinc Approximations
2014Let 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
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Lebesgue constants in polynomial interpolation
2006Summary: 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.
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Optimal Lebesgue constants on the square
2020Si 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
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Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces
Analysis and Applications, 2023Dachun Yang, Wen Yuan
exaly
Lebesgue Constants Determined by Extremal Sets
1984Let \( - 1 \leq {\text{x}}_{\text{0}}^{\text{n}} < {\text{x}}_1^{\text{n}} < \ldots < {\text{x}}_{\text{n}}^{\text{n}} < {\text{x}}_{\text{n+ 1}} ^{\text{n}} \leq 1 \) 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)
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Lebesgue constants of polyhedra
Mathematical Notes of the Academy of Sciences of the USSR, 1982openaire +2 more sources
Fourier Constants and Lebesgue Classes
Proceedings of the London Mathematical Society, 1935openaire +2 more sources

