Approximation by trigonometric polynomials in variable exponent Morrey spaces
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-018-0231-y
Abstract: We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space $${{\mathcal {M}}}^{p(\cdot ),\lambda (\cdot )}$$Mp(·),λ(·) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the… read more here.
Keywords: morrey spaces; trigonometric polynomials; polynomials variable; variable exponent ... See more keywords
FPGA-based implementation of chaotic oscillators by applying the numerical method based on trigonometric polynomials
Sign Up to like & getrecommendations! Published in 2018 at "AIP Advances"
DOI: 10.1063/1.5038583
Abstract: 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… read more here.
Keywords: method based; trigonometric polynomials; numerical methods; time ... See more keywords
Entropic Proximal Operators for Nonnegative Trigonometric Polynomials
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2018.2862399
Abstract: Signal processing applications of semidefinite optimization are often rooted in sum-of-squares representations of nonnegative trigonometric polynomials. Interior-point solvers for semidefinite optimization can handle constraints of this form with a per-iteration-complexity that is cubic in the… read more here.
Keywords: entropic proximal; trigonometric polynomials; distance; proximal operators ... See more keywords
Bernstein’s Inequality for the Weyl Derivatives of Trigonometric Polynomials in the Space L0
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Notes"
DOI: 10.1134/s0001434618070271
Abstract: A logarithmic asymptotics for the behavior with respect to n of the exact constant in Bernstein’s inequality for the Weyl derivative of positive noninteger order of trigonometric polynomials of order n in the space L0… read more here.
Keywords: order; space; trigonometric polynomials; inequality weyl ... See more keywords
On the Study of Trigonometric Polynomials Using Strum Sequence
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/7068176
Abstract: This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk.… read more here.
Keywords: strum sequence; study trigonometric; polynomials using; trigonometric polynomials ... See more keywords