Results 21 to 30 of about 11,753 (303)

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

Parameter identification method of time-domain stable discrete rational approximation for frequency response of foundations

open access: yesYantu gongcheng xuebao, 2021
The discrete-time rational approximation function is one of the important methods for establishing dynamic analysis model for foundations. The stability and accuracy of the rational function determine those of dynamic time history analysis.
WANG Zhi-yu 1, TANG Zhen-yun 1, 2, DU Xiu-li 1
doaj   +1 more source

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

A Rational Approximant for the Digamma Function [PDF]

open access: yesNumerical Algorithms, 2003
Power series representations for special functions are computationally satisfactory only in the vicinity of the expansion point. Thus, it is an obvious idea to use instead Padé approximants or other rational functions constructed from sequence transformations.
openaire   +2 more sources

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

Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces [PDF]

open access: yes, 2004
summary:Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied.
Israfilov, Daniyal M.
core   +1 more source

Multivariate approximation by polynomial and generalized rational functions

open access: yes, 2022
In this paper, we develop an optimization-based approach to multivariate Chebyshev approximation on a finite grid. We consider two models: multivariate polynomial approximation and multivariate generalized rational approximation.
Ugon, Julien   +3 more
core   +2 more sources

Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
Approximation properties of Fejer means of Fourier series by Chebyshev – Markov system of algebraic fractions and approximation by Fejer means of function |x|s, 0 < s < 2, on the interval [−1,1], are studied.
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

On rational Abel – Poisson means on a segment and approximations of Markov functions

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

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