Approximation by means of hexagonal Fourier series in Hölder norms
نویسندگان
چکیده
منابع مشابه
On Measure of Approximation by Means of Fourier Series
A many of approximation methods in C2 (Fej er, de la Vall ee Poussin etc.) may be generated via a certain function ' 2 C[0;1] with '(0) = 1, '(1) = 0. The function 'j(t) = cos(j 1=2) t (j 2 N) generates the Rogosinski approximation method [N. K. Bari, "A Treatise on Trigonometric Series," I, II, Pergamon Press, 1964]. Our idea consists in representing ' by the orthogonal system 'j to extend res...
متن کاملFourier Series and Approximation on Hexagonal and Triangular Domains
Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Cesàro summability of Fourier series, degree of approximation and best approximation by trigonometric functions, both direct and inverse theorems. One of the objective of this study is to demonstrate that Fourier series on spectral sets enjoy a rich structure ...
متن کاملOn the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series
Approximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler's mean of conjugate series of Fourier series. In this paper, the degree of approximation by using Euler's means of conjugate of functions belonging to Lip (ξ(t), p) class has ...
متن کاملApproximation of Functions by Matrix-euler Summability Means of Fourier Series in Generalized Hölder Metric
In this paper, a new estimate for the degree of trignometric approximation of a function f ∈ H r , (r ≥ 1) class by Matrix-Euler means (∆.E1) of its Fourier Series has been determined.
متن کاملDetermination of a jump by Fourier and Fourier-Chebyshev series
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, Hagstrom and Shapiro to the whole class of functions of harmonic bounded variation. This is achieved without the finiteness assumption on the number of discontinuities. Two results on determination of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2012
ISSN: 1848-5987
DOI: 10.7153/jca-01-06