Results 31 to 40 of about 2,041 (214)
Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
Al-Mustansiriyah Journal of Science, 2021 In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
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Nonperiodic Trigonometric Polynomial Approximation [PDF]
Journal of Scientific Computing, 2013 The suitable basis functions for approximating periodic function are periodic, trigonometric functions. When the function is not periodic, a viable alternative is to consider polynomials as basis functions. In this paper we will point out the inadequacy of polynomial approximation and suggest to switch from powers of $x$ to powers of $\sin(px)$ where ...
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Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
Mathematics, 2022 We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0. We also consider trigonometric polynomials of the form A(θ)yn−1y′=B0(θ)+Bn(θ)yn where n≥2, being A,B0,Bn trigonometric polynomials of degree at most μ≥1 ...
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A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types
Mathematics, 2019 We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
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Haar intervals for trigonometric polynomials
, 1979 Intervals are specified on which generalized trigonometric polynomials satisfy the Haar ...
Van de Vel, H.
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Remez Type Inequality for Trigonometric Polynomials on an Interval
, 2021 In this study we give a Remez type inequality for trigonometric polynomials on an ...
Akturk, Mehmet Ali, Lukashov, Alexey
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Mathematics, 2020 We study an energy-dependent potential related to the Rosen–Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrödinger operator in terms of a class of functions associated to a family of hypergeometric para ...
Jorge A. Borrego-Morell +2 more
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Advanced Robotics Research, EarlyView.This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
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Cones of Hermitian matrices and trigonometric polynomials
, 2011 This chapter studies cones in the real Hilbert spaces of Hermitian matrices and real valued trigonometric polynomials. Based on an approach using such cones and their duals, it establishes various extension results for positive semidefinite matrices and ...
Hugo J. Woerdeman, Mihály Bakonyi
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AIP Advances, 2018 Chaotic systems are integrated via numerical methods but the main challenge is determining the correct time-step. For instance, traditional numerical methods like Forward Euler (FE) and 4th-order Runge-Kutta (RK), have been applied to simulate and to ...
A. D. Pano-Azucena +3 more
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