Results 1 to 10 of about 223,993 (286)

Novel Computer Software for Interpolation and Approximation of Ravine and Stiff Digital Dependencies Using Root-Polynomoal and Root-Fractional-Rational Functions

Proceedings of the International Conference on Applied Innovations in IT
The article considers the possibilities of solving interpolation and approximation problems using special types of functions, such as root polynomials and root fractional rational, and provides relevant examples.
Igor Melnyk, Mykhailo Skrypka, Alina Pochynok, Olga Demyanchenko   +3 more
doaj   +1 more source

ON APPROXIMATION OF THE RATIONAL FUNCTIONS, WHOSE INTEGRAL IS SINGLE-VALUED ON C, BY DIFFERENCES OF SIMPLEST FRACTIONS

Проблемы анализа, 2018
We study a uniform approximation by differences Θ1 - Θ2 of simplest fractions (s.f.’s), i. e., by logarithmic derivatives of rational functions on continua K of the class Ωr, r > 0 (i.
Komarov M . A .
doaj   +1 more source

A unified algebraic underpinning for the Hahn polynomials and rational functions [PDF]

, 2020
An algebra denoted $m\mathfrak{H}$ with three generators is introduced and shown to admit embeddings of the Hahn algebra and the rational Hahn algebra.
L. Vinet, A. Zhedanov
semanticscholar   +1 more source

Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains

, 2019
Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored.
Tang, Tao, Wang, Li-Lian, Yuan, Huifang, Zhou, Tao   +3 more
core   +1 more source

Design of Multi-Dimensional Recursive Systems through Pad'e Type Rational Approximation

Nonlinear Analysis, 2002
The results obtained in classical 1-D rational approximation are extended in this paper to rational approximation of M-D functions. A full analog of classical Montessus de Ballore theorem for the convergence of the rows of Pad´e’s tables is obtained.
Valeri V. Vavilov, Mikhail K. Tchobanou, Peter M. Tchobanou   +2 more
doaj   +1 more source

Approximation by rational functions in Morrey-Smirnov classes

Kuwait Journal of Science, 2018
In this article, we investigate the direct problem of approximation theory in Morrey-Smirnov classes of analytic functions, defined on a doubly-connected domain bounded by two sufficiently smooth curves.
Mohammad Ali, Suliman Mahmoud, Ahmed kinj   +2 more
doaj  

Robust transfer function identification via an enhanced magnitude vector fitting algorithm [PDF]

, 2010
The study introduces an enhanced version of the magnitude vector fitting (magVF) algorithm, a robust procedure for the identification of a transfer function from magnitude frequency domain data.
De Tommasi, L, Dhaene, Tom, Gustavsen, B
core   +1 more source

On Analytical Extension of Generalized Hypergeometric Function ₃F₂

Axioms
The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics. The method is used, according to which the domains of the analytical continuation of the special functions are ...
Roman Dmytryshyn, Volodymyra Oleksyn
doaj   +1 more source

Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj   +1 more source

Solving Laplace Problems with Corner Singularities via Rational Functions [PDF]

SIAM Journal on Numerical Analysis, 2019
A new method is introduced for solving Laplace problems on 2D regions with corners by approximation of boundary data by the real part of a rational function with fixed poles exponentially clustered near each corner. Greatly extending a result of D.
A. Gopal, L. Trefethen
semanticscholar   +1 more source