Asymptotic Expansions for Bernstein-Durrmeyer-Chlodovsky Polynomials

作者：Abel Ulrich^*; Karsli Harun

来源：Results in Mathematics, 2018, 73(3): UNSP 104.

DOI：10.1007/s00025-018-0863-0

• Approximation by positive operators
• rate of convergence
• degree of approximation
• asymptotic expansions

We define a Durrmeyer variant of the Bernstein-Chlodovsky polynomials and study its rate of convergence. The main result is a complete asymptotic expansion. As a special case we obtain a Voronovskaja-type formula.

• 出版日期2018-9