Search Results - approximation by polynomials with integer coefficients

Uniform Approximation by Polynomials with Integer Coefficients via the Bernstein Lattice

Authors: Güntürk, C. Sinan Li, Weilin

Source: Springer Proceedings in Mathematics & Statistics ISBN: 9783031650635

Subject Terms: 41A29, Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2311.10901

Geometric properties of the lattice of polynomials with integer coefficients

Authors: Artur Lipnicki Marek J. �mieta�ski

Source: Opuscula Mathematica, Vol 44, Iss 4, Pp 565-585 (2024)

Subject Terms: T57-57.97, Applied mathematics. Quantitative methods, approximation by polynomials with integer coefficients, covering radius, roots of polynomial, lattice

Three problems in harmonic analysis and approximation theory

Authors: Oganesyan, Kristina

Thesis Advisors: Tikhonov, Sergey, 1976-

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Sèries de Fourier, Fourier series, Series de Fourier, Polinomis trigonomètrics, Trigonometric polynomials, Polinomios trigonométricos, Particions, Integer partitions, Particiones, Ciències Experimentals

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/691687

What Can Be Approximated by Polynomials with Integer Coefficients

Authors: Ferguson, Le Baron O.

Source: The American Mathematical Monthly, 2006 May 01. 113(5), 403-414.

Access URL: https://www.jstor.org/stable/27641948

Uniform approximation by polynomials with integer coefficients

Authors: Artur Lipnicki

Source: Opuscula Mathematica, Vol 36, Iss 4, Pp 489-498 (2016)

Subject Terms: approximation by polynomials with integer coefficients, lattice, covering radius, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3628.pdf; https://doaj.org/toc/1232-9274

Access URL: https://doaj.org/article/82f14a8d0f9343f18144a37127c8e91f

Approximation of analytic functions by polynomials with integer coefficients

Authors: V. V. Volchkov

Source: Mathematical Notes. 59:128-132

Subject Terms: Approximation by polynomials, degree of approximation, complex approximation, 0101 mathematics, Approximation in the complex plane, integer polynomials, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1028496
https://doi.org/10.1007/bf02310951
https://link.springer.com/content/pdf/10.1007/BF02310951.pdf
https://link.springer.com/article/10.1007/BF02310951

Integer Polynomial Optimization in Fixed Dimension

Authors: De Loera, Jesús A. Hemmecke, Raymond Köppe, Matthias et al.

Source: Mathematics of Operations Research, 2006 Feb 01. 31(1), 147-153.

Access URL: https://www.jstor.org/stable/25151712

UNIFORM APPROXIMATION BY POLYNOMIALS WITH INTEGER COEFFICIENTS.

Authors: Lipnicki, Artur

Source: Opuscula Mathematica; 2016, Vol. 36 Issue 4, p489-498, 10p

Subject Terms: UNIFORM algebras, APPROXIMATION theory, POLYNOMIALS, INTEGERS, COEFFICIENTS (Statistics), TOPOLOGICAL degree, LATTICE theory

Diámetro transfinito, constante de Chebyshev, capacidad logarítmica. (Spanish)

Alternate Title: Transfinite diameter, Chebyshev constant, logarithmic capacity. (English)

Authors: Luquin, Francisco

Source: Gaceta de la Real Sociedad Matemática Española; 2023, Vol. 26 Issue 2, p317-334, 18p

Subject Terms: APPROXIMATION theory, TRANSFINITE numbers, ANALYTIC functions, DIAMETER, CHEBYSHEV polynomials, CHEBYSHEV systems, POLYNOMIAL approximation, POLYNOMIALS, COEFFICIENTS (Statistics), SET functions, INTEGERS

Approximation with One-Bit Polynomials in Bernstein Form.

Authors: Güntürk, C. Sinan Li, Weilin

Source: Constructive Approximation. Apr2023, Vol. 57 Issue 2, p601-630. 30p.

Subject Terms: *BERNSTEIN polynomials, *FEEDFORWARD neural networks, *SMOOTHNESS of functions

Uniform approximation by polynomials with integer coefficients

Authors: Lipnicki, A.

Source: Opuscula Mathematica.

Subject Terms: approximation by polynomials with integer coefficients, lattice, covering radius

Access URL: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-7a30cfe2-973c-4dba-b15a-e9725b5ab7ac

Approximating the Level Curves on Pascal's Surface.

Authors: Jianu, M. Daus, L. Nagy, M. et al.

Source: International Journal of Computers, Communications & Control. Aug2022, Vol. 17 Issue 4, p1-15. 15p.

Subject Terms: Binomial coefficients, Curves, Gamma functions, Polynomials, Integers

Approximation with one-bit polynomials in Bernstein form

Authors: Güntürk, C. Sinan Li, Weilin

Index Terms: Computer Science - Information Theory, Mathematics - Classical Analysis and ODEs, text

URL: http://arxiv.org/abs/2112.09183

Polynomials with integer coefficients and their zeros.

Authors: Pritsker, Igor

Source: Journal of Mathematical Sciences; Jul2012, Vol. 183 Issue 6, p810-822, 13p

Subject Terms: COEFFICIENTS (Statistics), INTEGERS, ALGEBRAIC fields, CHEBYSHEV polynomials, SET theory, ALGEBRAIC number theory

Polynomials with integer coefficients and their zeros

Authors: Igor E. Pritsker

Source: Journal of Mathematical Sciences. 183:810-822

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 11C08, 11R09, 30C15

Access URL: http://arxiv.org/pdf/1307.6200
http://arxiv.org/abs/1307.6200
https://rd.springer.com/article/10.1007/s10958-012-0842-z
https://link.springer.com/content/pdf/10.1007%2Fs10958-012-0842-z.pdf
https://math.okstate.edu/people/igor/JMathSci.pdf
https://link.springer.com/article/10.1007/s10958-012-0842-z

Geometric properties of the lattice of polynomials with integer coefficients

Authors: Lipnicki, Artur Śmietański, Marek J.

Subject Terms: approximation by polynomials with integer coefficients, lattice, covering radius, roots of polynomials

Access URL: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-8ef1a28f-46e4-4a7e-b364-55ffeb3e09e9

On the best approximation of non-integer constants by polynomials with integer coefficients.

Authors: Trigub, Roald M.¹ (AUTHOR) roald.trigub@gmail.com

Source: Journal of Mathematical Sciences. Aug2023, Vol. 274 Issue 3, p403-421. 19p.

Subject Terms: *POLYNOMIALS, *ALGEBRAIC numbers, *CHEBYSHEV polynomials

On Polynomial Approximations for Privacy-Preserving and Verifiable ReLU Networks

Authors: Ali, Ramy E. So, Jinhyun Avestimehr, A. Salman

Index Terms: Computer Science - Machine Learning, Computer Science - Cryptography and Security, Computer Science - Information Theory, text

URL: http://arxiv.org/abs/2011.05530

Best approximation of constants by polynomials with integer coefficients.

Authors: Trigub, R. Volchkov, V.

Source: Journal of Approximation Theory. Mar2026:Part 1, Vol. 314, pN.PAG-N.PAG. 1p.

ON APPROXIMATION OF CONSTANTS BY POLYNOMIALS WITH INTEGER COEFFICIENTS.

Authors: Trigub, R. M.^1,2 (AUTHOR) roald.trigub@gmail.com

Source: Journal of Mathematical Sciences. 2022, Vol. 266 Issue 6, p959-966. 8p.

Subject Terms: *POLYNOMIAL approximation, *ALGEBRAIC numbers, *CHEBYSHEV polynomials, *POLYNOMIALS