Bernstein Polynomials and Modulus of Continuity
Journal of Approximation Theory, 2000 The author describes several properties related to the first order modulus of continuity, which are preserved by the operator given by Bernstein polynomials. Let the function \(\omega(t)\) on \([0,1]\) be a modulus of continuity. By \(H^\omega\) we denote the class of continuous functions on \([0,1]\) satisfying the inequality \(\omega(f,t)\leq\omega(t)
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Direct and Inverse Estimates For Combinations of Bernstein Polynomials with Endpoint Singularities
, 2015 Wen-ming Lu
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Some identities on the twisted q-tangent polynomials and Bernstein polynomials
, 2014 C. S. Ryoo
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Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space
, 2023 P. Özkartepe +2 more
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Bernstein polynomials: a bibliometric data analysis since the year 1949 based on the Scopus database [PDF]
Rushan Ziatdinov
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On the Fermionic -adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials [PDF]
, 2010 T Kim, J. Choi, YH Kim, CS Ryoo
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Bernstein-Sato polynomials and analytic non-equivalence of plane curve singularities [PDF]
, 2022 Toshinori Ôaku
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Some Identities on the Twisted (h, q)‐Genocchi Numbers and Polynomials Associated with q‐Bernstein Polynomials [PDF]
, 2011 Seog-Hoon Rim, Sunjung Lee
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Refinement of vectors of Bernstein polynomials
, 2017 Let \(n\in\mathbb{N}\) and let \({\mathbf G}^n(t):= (G^n_0(t),\dots, G^n_n(t))^T\) be a vector of uniformly refinable real functions on \([0,1]\); that is, there are \((n+ 1)\times(n+ 1)\) matrices \({\mathbf A}^n_0,\dots,{\mathbf A}^n_{k- 1}\) (\(k\in \mathbb{N}\), \(k\geq 2\)) such that \[ {\mathbf G}^n\Biggl({t+ m\over k}\Biggr)={\mathbf A}^n_m ...
Berg, Lothar, Plonka-Hoch, Gerlind
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A New Generating Function of (q‐) Bernstein‐Type Polynomials and Their Interpolation Function [PDF]
, 2010 Yılmaz Şimşek, Mehmet Açıkgöz
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