Results 181 to 190 of about 53,939 (225)

Trigonometric approximation of functions in $$L_1$$-norm

Periodica Mathematica Hungarica, 2021
The \(L_1\)-approximation of the functions \(f \in {\operatorname{Lip}}(\alpha,1 ...
Chandra, Prem, Karanjgaokar, Varsha
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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.
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Trigonometric Approximations for Bessel Functions

IEEE Transactions on Aerospace and Electronic Systems, 1986
Bessel functions, used extensively in mathematical physics, electromagnetics, and communication-system theory, must often be approximated by appropriate formulas. The functions J?(x) and I?(x) for integer values of p are well approximated by the sum of a small number of circular and hyperbolic sines or cosines, respectively, when x is not too large, e ...
Nelson M. Blachman, S. Hossein Mousavinezhad   +1 more
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Approximation of trigonometric functions by trigonometric polynomials with interpolation

Journal of Contemporary Mathematical Analysis, 2010
The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.
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FRACTAL TRIGONOMETRIC POLYNOMIALS FOR RESTRICTED RANGE APPROXIMATION

Fractals, 2016
One-sided approximation tackles the problem of approximation of a prescribed function by simple traditional functions such as polynomials or trigonometric functions that lie completely above or below it. In this paper, we use the concept of fractal interpolation function (FIF), precisely of fractal trigonometric polynomials, to construct one-sided ...
Chand, A. K. B., Navascués, M. A., Viswanathan, P., Katiyar, S. K.   +3 more
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Trigonometric background multivariate smooth trigonometric singular integrals approximations

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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APPROXIMATE POLYNOMIALS OF TRIGONOMETRICAL SERIES

Survey Review, 1973
AbstractApproximate polynomials of the arctangent, tangent, cosine and sine series are offered which are suitable for use on small desk-top programmable computers, or on pocket computers in the field, which do not have inbuilt facilities for evaluating trigonometrical functions.
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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,...
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Abstract Fractional Trigonometric Korovkin Approximation

2017
In this chapter we study quantitatively with rates the trigonometric fractional convergence of sequences of linear operators applied on Banach space valued functions.
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Greedy Algorithm and m -Term Trigonometric Approximation

Constructive Approximation, 1998
This paper is devoted to the nonlinear method of approximation of the following type. For the periodic function \(f\) it is taken as an approximant a trigonometric polynomial of the form \( G_m(f):= \sum_{k\in \Lambda} \widehat f (k) \exp{i(k,x)}\), where \(\Lambda\subset \mathbf Z^d\) is a set of cardinality \(m\) containing the indices of the \(m ...
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