Gluing Rule for Bernstein Polynomials on the Symmetric Interval

DOI10.18500/1816-9791-2015-15-3-288-300zbMath1331.41039OpenAlexW3094599556MaRDI QIDQ2787929

V. B. Sherstyukov, Margarita Arsenova Petrosova, I. V. Tikhonov

Publication date: 7 March 2016

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2015-15-3-288-300

zbMATH Keywords

piecewise linear functionsBerstein polynomialsgluing rulesymmetric interval

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Generalized Popoviciu expansions for Bernstein polynomials of a rational module ⋮ On growth rate of coefficients in Bernstein polynomials for the standard modulus function on a symmetric interval ⋮ Algebraic Representation for Bernstein Polynomials on the Symmetric Interval and Combinatorial Relations

Cites Work

• Deficient Bernstein polynomials
• On \(\mathrm\text{ Ш}\)-rigidity of groups of order \(p^6\).
• Stieltjes integral representation of convex functions
• Degenerate Bernstein polynomials
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