Results 51 to 60 of about 186,989 (178)

Faster approximation to multivariate functions by combined Bernstein-Taylor operators

Demonstratio Mathematica
In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
doaj   +1 more source

Optimization of Homomorphic Comparison Algorithm on RNS-CKKS Scheme

IEEE Access, 2022
The sign function can be adopted to implement the comparison operation, max function, and rectified linear unit (ReLU) function in the Cheon–Kim–Kim–Song (CKKS) scheme; hence, several studies have been conducted to efficiently ...
Eunsang Lee, Joon-Woo Lee, Young-Sik Kim, Jong-Seon No   +3 more
doaj   +1 more source

Optimal Approximation of Biquartic Polynomials by Bicubic Splines

EPJ Web of Conferences, 2018
Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm.
Kačala Viliam, Török Csaba
doaj   +1 more source

Integral of Legendre polynomials and its properties [PDF]

Mathematics and Computational Sciences
This paper is concerned with deriving a new system of orthogonal polynomials whose inflection points coincide with their interior roots, primitives of Legendre polynomials.
Abdelhamid Rehouma
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Approximation by Stancu–Chlodowsky polynomials

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chebyshev approximation by γ-polynomials

Journal of Approximation Theory, 1973
The approximation by sums of exponentials shares some of the properties of rational approximation. But there is an essential difference: the best approximation is not always unique. There may be more than one isolated solution, which means that phenomena arise which are not met in the linear theory.
openaire   +1 more source

Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials

Journal of Function Spaces, 2020
The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials.
Md. Nasiruzzaman, A. F. Aljohani
doaj   +1 more source

Approximation by transcendental polynomials [PDF]

Annales Polonici Mathematici, 1985
The author obtains the following result: Let h be a transcendental entire function of a complex variable. Let E be a compact subset of \({\mathbb{C}}\) such that \({\mathbb{C}}\setminus E\) is connected and let f be any function holomorphic in a neighbourhood of E. Then there exists a sequence of polynomials of two variables \(\{P_ k(z,w)\}\) such that
openaire   +1 more source

Extremalis problémák többváltozós és súlyozott polinomokra = Extremal problems for multivariate and weighted polynomials [PDF]

, 2009
Jól ismert hogy a többváltozós polinomok sűrűek a d-dimenziós kompakt halmazokon folytonos függvények terében. A többváltozós polinomok egy fontos részhalmaza a homogén polinomok osztálya.
Kroó, András, Szabados, József
core  

Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions [PDF]

Polynomials, trigonometric polynomials, and rational functions are widely used for the discrete approximation of functions or simulation models.Often, it is known beforehand, that the underlying unknown function has certain properties, e.g.
Hertog, D. den, Klerk, E. de, Siem, A.Y.D.   +2 more
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