Results 151 to 160 of about 584,030 (179)

Monotone approximation of functions by trigonometric polynomials

Mathematical Notes of the Academy of Sciences of the USSR, 1983
Translation from Mat. Zametki 34, No.3, 375-386 (Russian) (1983; Zbl 0529.42002).
openaire   +2 more sources

Some inequalities in trigonometric approximation

Bulletin of the Australian Mathematical Society, 1973
For a nonconstant L2 (−π, π) function f, we prove that and that the inequalities are sharp.
Ching, Chin-Hung, Chui, Charles K.
openaire   +2 more sources

CONSTRUCTIVE ESTIMATION OF APPROXIMATION FOR TRIGONOMETRIC NEURAL NETWORKS

International Journal of Wavelets, Multiresolution and Information Processing, 2012
For the three-layer artificial neural networks with trigonometric weights coefficients, the upper bound and lower bound of approximating 2π-periodic pth-order Lebesgue integrable functions [Formula: see text] are obtained in this paper. Theorems we obtained provide explicit equational representations of these approximating networks, the specification ...
Jianjun Wang 0003, Weihua Xu 0003, Bin Zou 0002   +2 more
openaire   +2 more sources

Approximation by Trigonometric Polynomials in Weighted Morrey Spaces

Moscow Mathematical Journal
Some trigonometric polynomial approximation problems are studied in the weighted Morrey spaces. Direct and inverse approximation theorems in terms of the fractional moduli of smoothness are obtained. Some Lipschitz subclasses of weighted Morrey spaces are defined, and their constructive characterizations are given.
Testici, Ahmet, İsrafilov, Daniyal M.
openaire   +2 more sources

Simultaneous Trigonometric Approximation

Journal of Mathematics and Physics, 1952
Steinberg, R., Redheffer, R. M.
openaire   +1 more source

A Note on Approximation by Trigonometric Polynomials

Journal of Mathematical Sciences, 2019
Let $$ E=\underset{k=1}{\overset{n}{\cup }}\left[{a}_k,{b}_k\right]\subset \mathbb{R} $$; if n > 1, then we assume that the segments [ak, bk] are pairwise disjoint. Assume that the following property holds: E ∩ (E + 2πν) = ∅, ν ∈ ℤ, ν ≠ 0. Denote by Hω + r(E) the space of functions f defined on E such that |f(r)(x2) − f(r)(x1)| ≤ cfω(|x2 − x1|), x1, x2 
openaire   +1 more source

Some Approximations for Trigonometrical Functions

1980
It is shown that better approximations of tan(x) are obtained if the singular part is taken out, i.e. if we write tan(x) = S(x) + R(x) where S contains the singular part of tan in the sense that the rest R(x) is finite for x → one or several of the points ±π/2,±3π/2,...
openaire   +1 more source

On the trigonometric approximation of the generalized weighted Lipschitz Class

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Fast and Accurate Approximation Methods for Trigonometric and Arctangent Calculations for Low-Performance Computers

Electronics (Switzerland), 2022
Takayuki Tanaka, Takashi Kusaka
exaly  

Trigonometric approximation

2022
openaire   +1 more source