Algebraic Representation for Bernstein Polynomials on the Symmetric Interval and Combinatorial Relations

DOI10.23671/VNC.2019.3.36462zbMath1463.41014MaRDI QIDQ4970102

Magarita Arsenovna Petrosova, I. V. Tikhonov, V. B. Sherstyukov

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj700

zbMATH Keywords

Bernstein polynomialscombinatorial relationssymmetric intervalPascal trapeziums

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Approximation by polynomials (41A10) Special sequences and polynomials (11B83)

Related Items (1)

Kinks in higher-order polynomial models

Cites Work

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• Interpolation and approximation by polynomials
• A permissible restriction on the coefficients in uniform polynomial approximation to \(C[0,1\)]
• Permissible bounds on the coefficients of approximating polynomials
• On estimates of the coefficients of polynomials approximating continuous functions
• Gluing Rule for Bernstein Polynomials on the Symmetric Interval
• Анализ спектра случайных симметрических булевых функций
• Многочлены Кравчука и их применения в задачах криптографии и теории кодирования
• Bernstein Polynomials for a Standard Module Function on the Symmetric Interval

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