Results 61 to 70 of about 31,688 (173)

On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting

Journal of Inequalities and Applications, 2006
The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions.
Kokilashvili V, Guven A
doaj  

A kind of identities related to Riemann zeta-function

Open Mathematics
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
doaj   +1 more source

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

On the Upcrossings of Trigonometric Polynomials with Random Coefficients

Revstat Statistical Journal, 2014
Polynomials are one of the oldest and the most versatile classes of functions which are fundamental in approximating highly complex, deterministic as well as random nonlinear functions and systems.
K.F. Turkman
doaj   +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

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
doaj   +1 more source

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  

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

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
doaj   +1 more source

Deterministic sampling of sparse trigonometric polynomials

Journal of Complexity, 2011
One can recover sparse multivariate trigonometric polynomials from few randomly taken samples with high probability (as shown by Kunis and Rauhut). We give a deterministic sampling of multivariate trigonometric polynomials inspired by Weil's exponential sum.
openaire   +3 more sources