Lebesgue constants of Gaussian cardinal interpolation operators from l (ℤ) into L (ℝ)

2006 ◽  
Vol 32 (4) ◽  
pp. 265-277
Author(s):  
Cao Hui ◽  
Liu Yongping
Keyword(s):  
Lebesgue Constants ◽  
Cardinal Interpolation ◽  
Interpolation Operators

scholarly journals On the Lebesgue constants of Fourier-Laplace series by Riesz Means

2017 ◽  
Vol 819 ◽  
pp. 012018
Author(s):  
Ahmad Fadly Nurullah bin Rasedee ◽  
Abdumalik A. Rakhimov ◽  
Anvarjon A. Ahmedov ◽  
Torla Bin Hj Hassan
Keyword(s):  
Lebesgue Constants ◽  
Riesz Means ◽  
Laplace Series

scholarly journals $$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes

CALCOLO ◽  
2021 ◽  
Vol 58 (2) ◽  
Author(s):  
Francesca Bonizzoni ◽  
Guido Kanschat
Keyword(s):  
Finite Element ◽  
Tensor Product ◽  
Arbitrary Order ◽  
Inner Product ◽  
Cochain Complex ◽  
Exterior Derivative ◽  
Product Construction ◽  
Cartesian Meshes ◽  
Conforming Finite Element ◽  
Interpolation Operators

AbstractA finite element cochain complex on Cartesian meshes of any dimension based on the $$H^1$$ H 1 -inner product is introduced. It yields $$H^1$$ H 1 -conforming finite element spaces with exterior derivatives in $$H^1$$ H 1 . We use a tensor product construction to obtain $$L^2$$ L 2 -stable projectors into these spaces which commute with the exterior derivative. The finite element complex is generalized to a family of arbitrary order.

Behavior of Lebesgue constants

1975 ◽  
Vol 17 (3) ◽  
pp. 233-235 ◽  
Author(s):  
V. A. Yudin
Keyword(s):  
Lebesgue Constants
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