Results 101 to 110 of about 2,041 (214)

Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
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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
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On a Fejer-Riesz factorization of generalized trigonometric polynomials

, 2021
Function theory on the unit disc proved key to a range of problems in statistics, probability theory, signal processing literature, and applications, and in this, a special place is occupied by trigonometric functions and the Fejer-Riesz theorem that non-
Georgiou, Tryphon T.,, Lindquist, Anders,   +1 more
core  

Simultaneous approximation by polynomials in Orlicz spaces generated by quasiconvex Young functions

Kuwait Journal of Science, 2016
In this paper we prove some theorems on simultaneous approximation by trigonometric or algebraic polynomials in Orlicz spaces constructed by Young functions belonging to a reasonably wide class.
huseyin koc
doaj  

Alternating trigonometric polynomials

Journal of Approximation Theory, 1987
Set \(t_ k=h_ n+\{k\pi /(n+1)\}\), \(k=0,1,...,2n+1\), \(0\leq h_ ...
openaire   +2 more sources

Approximation of generalized Poisson integrals by interpolation trigonometric polynomials

, 2023
In this paper we establish asymptotically best possible interpolation Lebesgue-type inequalities for $2\pi$-periodic functions $f$, which are representable as generalized Poisson integrals of the functions $\varphi$ from the space $L_p$, $1\leq p\leq ...
Serdyuk, Anatoly, Stepaniuk, Tetiana
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Optimization of trigonometric polynomials with crystallographic symmetry and applications

, 2022
The Weyl group of a crystallographic root system has a multiplicative action on the ring of multivariate trigonometric polynomials. We study the problem of minimizing an invariant trigonometric polynomial.
Moustrou, Philippe, Metzlaff, Tobias, Hubert, Evelyne, Riener, Cordian   +3 more
core  

A basic triad in Macdonald theory

Physics Letters B
Within the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A.
A. Mironov, A. Morozov, A. Popolitov
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On approximation of continuous functions by trigonometric polynomials

, 2011
We generalize the classical Jackson–Bernstein constructive description of Hölder classes of periodic functions on the interval [−π,π]. We approximate by trigonometric polynomials continuous functions defined on a compact set E⊂[−π,π].
Blatt, Hans-Peter, Hans-Peter Blatt, Andrievskii, Vladimir, Vladimir Andrievskii   +3 more
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Algorithms for Various Trigonometric Power Sums

Algorithms
In this paper, algorithms for different types of trigonometric power sums are developed and presented. Although interesting in their own right, these trigonometric power sums arise during the creation of an algorithm for the four types of twisted ...
Victor Kowalenko
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