Results 71 to 80 of about 584,030 (179)

A Method For Approximating Univariate Convex Functions Using Only Function Value Evaluations [PDF]

open access: yes
In this paper, piecewise linear upper and lower bounds for univariate convex functions are derived that are only based on function value information. These upper and lower bounds can be used to approximate univariate convex functions.
Siem, A.Y.D.   +2 more
core  

The Approximation of Functions of Several Variables with Bounded p-Fluctuation by Polynomials in the Walsh System

open access: yesMathematics
This paper presents direct and inverse theorems concerning the approximation of functions of several variables with bounded p-fluctuation using Walsh polynomials.
Talgat Akhazhanov   +2 more
doaj   +1 more source

ISSN 1068-9613. FRACTAL TRIGONOMETRIC APPROXIMATION

open access: yes, 2008
. A general procedure to define nonsmooth fractal versions of classical trigonometric approximants is proposed. The systems of trigonometric polynomials in the space of continuous and periodic functions ¢¤£¦¥¨§ © are extended to bases of fractal ...
M. A. Navascues
core  

Bernstein’s theorem and trigonometric approximation [PDF]

open access: yesTransactions of the American Mathematical Society, 1936
openaire   +2 more sources

Exact and Approximate Solutions of A Fractional Diffusion Problem with Fixed Space Memory Length

open access: yesInternational Journal of Applied Mathematics and Computer Science
We study a fractional differential diffusion equation, where the spatial derivative is expressed by the fractional differential operator with a fixed space memory length.
Klimek Malgorzata, Blaszczyk Tomasz
doaj   +1 more source

Trigonometric derived rate of convergence of various smooth singular integral operators

open access: yesModern Mathematical Methods
In this article, we continue the study of approximation of various smooth singular integral operators. This time the foundation of our research is a trigonometric Taylor’s formula.
George Anastassiou
doaj  

Approximation by trigonometric polynomials in weighted grand Lorentz spaces

open access: yes
In the present paper, the relationship between the best approximation of the function and the best approximation of the derivatives of the function in the weighted grand Lorentz spaces has been investigated.
Jafarov, S.Z.
core   +1 more source

A sharp Jackson inequality for best trigonometric approximation

open access: yes, 2012
The paper presents a sharp Jackson inequality and a corresponding inverse one for best trigonometric approximation in terms of moduli of smoothness that are equivalent to zero on the trigonometric polynomials up to a certain degree.
Draganov, B.R.
core  

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