Degenerate Bernstein polynomials

DOI10.1007/s13398-018-0594-9zbMath1435.11053arXiv1806.06379OpenAlexW2964267714MaRDI QIDQ5919567

Dae San Kim, Taekyun Kim

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06379

zbMATH Keywords

generating functionsStirling numbersBernoulli polynomialsdegenerate Bernstein polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75)

Related Items (8)

A note on negative \(\lambda\)-binomial distribution ⋮ A new approach to \(q\)-Bernoulli numbers and \(q\)-Bernoulli polynomials related to \(q\)-Bernstein polynomials ⋮ Fully degenerate Bell polynomials associated with degenerate Poisson random variables ⋮ A note on degenerate Bernstein polynomials ⋮ Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials ⋮ Ordinary and degenerate Euler numbers and polynomials ⋮ A complete study of the geometry of 2-homogeneous polynomials on circle sectors ⋮ Symmetric properties of Carlitz's type \(q\)-Changhee polynomials

Cites Work

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• A New Nonparametric Estimation Method of the Variance in Heteroscedastic Model
• Probabilistic proof of a theorem on the approximation of continuous functions by means of generalized Bernstein polynomials
• A note on degenerate stirling polynomials of the second kind
• Generating functions for unification of the multidimensional Bernstein polynomials and their applications
• A study on the q-Euler numbers and the fermionic q-integrals of the product of several type $q$-Bernstein polynomials on Zp
• Generalization of Bernstein's polynomials to the infinite interval
• Combinatorial identities associated with Bernstein type basis functions

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