Results 71 to 80 of about 126,693 (204)

Partial Sum Trigonometric Identities and Chebyshev Polynomials [PDF]

, 2018
Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities involving sums and multiplications of ...
Weller, Sarah
core   +1 more source

On Some Cauchy Type Mean-Value Theorems with Applications

Communications in Advanced Mathematical Sciences
Some Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj   +1 more source

Circular Bernstein polynomial distributions [PDF]

This paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular ...
José Antonio Carnicero, Michael P. Wiper, Concepción Ausín   +2 more
core  

Some Bernstein-type inequalities for trigonometric polynomials [PDF]

, 1993
Одержані уточнення відомих нерівностей типу нерівності Бернштейна для тригонометричних поліномів.The refinements of some well-known Bemstein-type inequalities for trigonometric polynomials are ...
Бабенко, В.Ф., Лигун, А.А.   +1 more
core   +2 more sources

Computation of the Fourier transform for a continuous integrable function via NFFT

Frontiers in Applied Mathematics and Statistics
We investigate the approximation of continuous Fourier transforms by trigonometric sampling polynomials and their efficient evaluation by the non-equispaced fast Fourier transform (NFFT).
Daniel Potts, Manfred Tasche
doaj   +1 more source

Equivalence between various Shape Preserving Approximations of periodic functions

Researches in Mathematics
We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

ON AN EXTREMAL PROBLEM FOR POLYNOMIALS WITH FIXED MEAN VALUE

Ural Mathematical Journal, 2016
Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that are strictly positive at zero. For \(0\le\alpha\le2\pi/(n+2),\) we find the minimum of the mean value of polynomial \((\cos\alpha-\cos{x})\tau_n(x)/\tau_n(0)
Alexander G. Babenko
doaj   +1 more source

Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]

Opuscula Mathematica, 2008
In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Paweł Karczmarek
doaj  

On the Gaps between Zeros of Trigonometric Polynomials

Real Analysis Exchange, 2003
We show that for every finite symetric set S of integer vectors, every real trigonometric polynomial on the d dimensional torus with spectrum in S has a zero in every closed ball of diameter D, where D is the sum over S of 1 over 4 times the L2 norm of the vector. We investigate tightness in some special cases.
Kozma, Gady, Oravecz, Ferencz
openaire   +4 more sources

Integral inequalities for trigonometric polynomials in periodic Morrey spaces

Современная математика: Фундаментальные направления
In this paper, we present a detailed exposition of Bernstein’s inequality, inequalities of different metrics and different dimensions for trigonometric polynomials in periodic Morrey spaces.
D. J. Joseph
doaj   +1 more source