Results 91 to 100 of about 126,693 (204)

Approximation of functions in Besov space by deferred Cesàro mean

Journal of Inequalities and Applications, 2016
In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
Mradul Veer Singh, Madan Lal Mittal
doaj   +1 more source

Positivity of Trigonometric Polynomials

, 2003
The paper introduces a modi cation of the well-known sum-ofsquares relaxation scheme for semi-algebraic programming by Shor [1], based on replacing the ordinary polynomials by their trigonometric counterparts.
Alexandre Megretski
core  

Robust designs for series estimation [PDF]

We discuss optimal design problems for a popular method of series estimation in regression problems. Commonly used design criteria are based on the generalized variance of the estimates of the coefficients in a truncated series expansion and do not take ...
Dette, Holger, Wiens, Douglas P.
core  

Extremal Positive Trigonometric Polynomials

, 2002
In this paper we review various results about nonnegative trigonometric polynomials. The emphasis is on their applications in Fourier Series, Approximation Theory, Function Theory and Number Theory ...
Dimitar K. Dimitrov
core  

Long Journey from Stevenson’s Formally Complex Hypergeometric Polynomials to Real-by-Definition Romanovski-Routh Polynomials

Axioms
The paper links Stevenson’s formally complex hypergeometric polynomials to the real-by-definition Romanovski-Routh (R-Routh) polynomials. The spectral problem for Stevenson’s second-order normal ordinary differential equation (NODE) was formulated in ...
Gregory Natanson
doaj   +1 more source

Positive trigonometric polynomials and signal processing applications

, 2007
Presents the results on positive trigonometric polynomials within a unitary framework; the theoretical results obtained partly from the general theory of real polynomials, partly from self-sustained developments.
Dumitrescu, Bogdan
core  

Bernstein and Szegö inequalities for trigonometric polynomials [PDF]

, 2008
Статья поступила 05.01.2008 г. Окончательный вариант 11.02.2008 г.Дан обзор результатов, относящихся к точным неравенствам Бернштейна и Сеге для тригонометрических полиномов (на вещественной оси, а точнее, на периоде) и некоторым более общим неравенствам
Арестов, В. В., Arestov, V. V.
core  

Trigonometric polynomials over homogeneous spaces of compact groups

, 2017
This paper presents a systematic study for trigonometric polynomials over homogeneous spaces of compact groups. Let HH be a closed subgroup of a compact group GG.
Ghaani Farashahi, A
core   +1 more source

More on fast decreasing trigonometric polynomials

Researches in Mathematics
In a recent paper, for a fixed $m\in\mathbb N$, we introduced trigonometric polynomials $$ L_n(x):=\frac1{h^m}\underbrace{\int_{-h/2}^{h/2}\dots\int_{-h/2}^{h/2}}_{m\,\text{times}}J_n(x+t_1+\cdots+t_m)\,dt_1\cdots\,dt_m, $$ where $J_n$ is a Jackson ...
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

Rational solutions and limit cycles of polynomial and trigonometric Abel equations

Electronic Journal of Qualitative Theory of Differential Equations
e study the Abel differential equation $x'=A(t)x^3+B(t)x^2+C(t)x$. Specifically, we find bounds on the number of its rational solutions when $A(t), B(t)$ and $C(t)$ are polynomials with real or complex coefficients; and on the number of rational limit ...
Luis Ángel Calderón
doaj   +1 more source