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Stokes flows in a two-dimensional bifurcation [PDF]

open access: yesRoyal Society Open Science
The flow network model is an established approach to approximate pressure–flow relationships in a bifurcating network, and has been widely used in many contexts.
Yidan Xue   +2 more
doaj   +2 more sources

Approximation by Rational Functions in Variable Exponent Morrey–Smirnov Classes

open access: yesJournal of Mathematics, 2022
In this work, the direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain of the complex plane bounded by two sufficiently smooth curves, is investigated.
Ahmed Kinj
doaj   +1 more source

A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation

open access: yesMathematics, 2022
We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions.
Esma Yıldız Özkan
doaj   +1 more source

On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika   +2 more
doaj   +1 more source

Algebraic Solution of Tropical Best Approximation Problems

open access: yesMathematics, 2023
We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
doaj   +1 more source

Extension of Dasgupta’s Technique for Higher Degree Approximation

open access: yesUniversitas Scientiarum, 2021
In the present paper, rational wedge functions for degree two approximation have been computed over a pentagonal discretization of the domain, by using an analytic approach which is an extension of Dasgupta’s approach for linear approximation.
P. L. Powar   +2 more
doaj   +1 more source

A piecewise homotopy Padé technique to approximate an arbitrary function

open access: yesAIMS Mathematics, 2023
The Padé approximation and its enhancements provide a more accurate approximation of functions than the Taylor series truncation. A new technique for approximating functions into rational functions is proposed in this paper.
Mourad S. Semary   +2 more
doaj   +1 more source

Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current [PDF]

open access: yes, 2003
We establish an approximation of the activity current $T_c$ in the parameter space of a holomorphic family $f$ of rational functions having a marked critical point $c$ by parameters for which $c$ is periodic under $f$, i.e., is a superattracting periodic
Okuyama, Yûsuke
core   +7 more sources

Accurate analytic approximation to the Modified Bessel function of Second Kind K 0(x)

open access: yesResults in Physics, 2022
Two analytic approximations have been determined for the modified Bessel functions of second kind K0(x), good for either positive or negative values of x.
Pablo Martin, Fernando Maass
doaj   +1 more source

Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator

open access: yesMathematics, 2022
We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
doaj   +1 more source

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