scholarly journals On Weyl multipliers of the rearranged trigonometric system

2020 ◽  
Vol 211 (12) ◽  
Author(s):  
Grigorii Artashesovich Karagulyan
Keyword(s):  
Trigonometric System

Convergence of greedy approximation for the trigonometric system

2005 ◽  
Vol 31 (2) ◽  
pp. 85-115 ◽  
Author(s):  
S. V. Konyagin ◽  
V. N. Temlyakov
Keyword(s):  
Trigonometric System ◽  
Greedy Approximation

On Parseval’s equality for rearrangements of the trigonometric system

2011 ◽  
Vol 90 (5-6) ◽  
pp. 780-783
Author(s):  
A. I. Rubinshtein
Keyword(s):  
Trigonometric System ◽  
Parseval’S Equality

Analysis of chaotic characteristics of trigonometric function system

2020 ◽  
Vol 34 (21) ◽  
pp. 2050210
Author(s):  
Wanbo Yu ◽  
Ting Yu
Keyword(s):  
Social Sciences ◽  
Dynamic System ◽  
Necessary Conditions ◽  
Fluid Motion ◽  
Nonlinear Dynamic System ◽  
Chaotic Sequence ◽  
Trigonometric System ◽  
Secure Communications ◽  
Key Space ◽  
Mathematical Derivation

Chaos, as an important subject of nonlinear science, plays an important role in solving problems in both natural sciences and social sciences such as the fields of secure communications, fluid motion, particle motion and so on. Aiming at this problem, this paper proposes a nonlinear dynamic system composed of product trigonometric functions and studies its chaotic characteristics. Through the mathematical derivation of the system’s period, the analysis of the necessary conditions at the fixed point, the experimental drawing of the Lyapunov exponential graph and the branch graph of the system, it is proved that the system has larger chaotic interval and stronger chaotic characteristics. The parameters of the proposed dynamic system are generated randomly, and then the chaotic sequence can be generated. The chaotic sequence is used to encrypt the digital image, a good encryption effect is obtained, and there is a large key space. At the same time, the motion of the particles in the space magnetic field is simulated, which further proves that the trigonometric system has strong chaotic characteristics.

On an Interpolation by the Modified Trigonometric System

2018 ◽  
Vol 53 (3) ◽  
pp. 153-161
Author(s):  
A. V. Poghosyan ◽  
T. K. Bakaryan
Keyword(s):  
Trigonometric System

Functions that are universal with respect to the trigonometric system

2021 ◽  
Vol 85 (2) ◽  
Author(s):  
Martin Gevorgovich Grigoryan ◽  
Levon Nikolaevich Galoyan
Keyword(s):  
Trigonometric System

scholarly journals On convergence of greedy approximations for the trigonometric system

2007 ◽  
Vol 1 (2) ◽  
pp. 208-211
Author(s):  
Sergei V. Konyagin
Keyword(s):  
Trigonometric System ◽  
Greedy Approximations

Singularities of carleman type for subsystems of a trigonometric system

1974 ◽  
Vol 15 (4) ◽  
pp. 301-304
Author(s):  
S. F. Lukomskii
Keyword(s):  
Trigonometric System ◽  
Carleman Type

Perturbation of the trigonometric system in L 1(0, π)

2006 ◽  
Vol 80 (3-4) ◽  
pp. 410-416
Author(s):  
V. I. Filippov
Keyword(s):  
Trigonometric System

Nonlinear approximation by renormalized trigonometric system

2012 ◽  
Vol 47 (2) ◽  
pp. 86-96
Author(s):  
H. Aleksanyan
Keyword(s):  
Nonlinear Approximation ◽  
Trigonometric System
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