Lebesgue constants of multiple de la Vallée-Poussin sums over polyhedra

M. A. Skopina

doi:10.1007/bf01680022

Lebesgue constants of multiple de la Vallée-Poussin sums over polyhedra

Journal of Soviet Mathematics ◽

10.1007/bf01680022 ◽

1984 ◽

Vol 26 (6) ◽

pp. 2404-2411 ◽

Cited By ~ 1

Author(s):

M. A. Skopina

Keyword(s):

Lebesgue Constants ◽

De La Vallée Poussin

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The Relation Between de la Vallée Poussin and Abel Summability

Proceedings of the London Mathematical Society ◽

10.1112/plms/s2-44.2.92 ◽

1938 ◽

Vol s2-44 (1) ◽

pp. 92-99

Author(s):

B. Kuttner

Keyword(s):

Abel Summability ◽

De La Vallée Poussin

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Indica. Reviewed by L. D. Barnett - 1. Indo-Européens et Indo-iraniens. L’Inde jusque vers 300 av J.-C. Par L. de la Vallée-Poussin. (Histoire du Monde, publiée sous la direction de M. E. Cavaignac. Tome iii.) 9×5½, 345 pp. Paris: De Boccard, 1924.

Journal of the Royal Asiatic Society ◽

10.1017/s0035869x00055027 ◽

1925 ◽

Vol 57 (3) ◽

pp. 522-523

Author(s):

L. D. Barnett

Keyword(s):

De La Vallée Poussin

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

Journal of Physics Conference Series ◽

10.1088/1742-6596/819/1/012018 ◽

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

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

Analysis Mathematica ◽

10.1007/s10476-006-0014-9 ◽

2006 ◽

Vol 32 (4) ◽

pp. 265-277

Author(s):

Cao Hui ◽

Liu Yongping

Keyword(s):

Lebesgue Constants ◽

Cardinal Interpolation ◽

Interpolation Operators

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Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces L 1,A,B

Ukrainian Mathematical Journal ◽

10.1007/s11253-014-0929-4 ◽

2014 ◽

Vol 66 (2) ◽

pp. 289-299

Author(s):

O. V. Motornaya ◽

V. P. Motornyi

Keyword(s):

Lebesgue Constants ◽

Jacobi Series

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Edge detection with trigonometric polynomial shearlets

Advances in Computational Mathematics ◽

10.1007/s10444-020-09838-3 ◽

2021 ◽

Vol 47 (1) ◽

Author(s):

Kevin Schober ◽

Jürgen Prestin ◽

Serhii A. Stasyuk

Keyword(s):

Edge Detection ◽

Trigonometric Polynomial ◽

Two Dimensions ◽

Characteristic Functions ◽

Numerical Examples ◽

Special Cases ◽

Periodic Characteristic ◽

Boundary Curves ◽

Theoretical Results ◽

De La Vallée Poussin

AbstractIn this paper, we show that certain trigonometric polynomial shearlets which are special cases of directional de la Vallée Poussin-type wavelets are able to detect step discontinuities along boundary curves of periodic characteristic functions. Motivated by recent results for discrete shearlets in two dimensions, we provide lower and upper estimates for the magnitude of the corresponding inner products. In the proof, we use localization properties of trigonometric polynomial shearlets in the time and frequency domain and, among other things, bounds for certain Fresnel integrals. Moreover, we give numerical examples which underline the theoretical results.

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