Voronovskaya-type formulas and saturation of convergence for q-Bernstein polynomials for 0<q<1

• Autores: Heping Wang
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 145, Nº 2, 2007, págs. 182-195
• Idioma: inglés
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• Resumen

  • In the paper, we discuss Voronovskaya-type theorem and saturation of convergence for q-Bernstein polynomials for arbitrary fixed q, 0

    We also prove that if f is convex on [0,1] or analytic on (-e,1+e) for some e>0, then the rate of convergence for the q-Bernstein polynomials is o(qn) if and only if f is linear.