Borislav R. Draganov
Published 2019-09-10Version 1
It is demonstrated that multiplier methods naturally yield better constants in strong converse inequalities for the Bernstein-Durrmeyer operator. The absolute constants obtained in some of the inequalities are independent of the weight and the dimension. The estimates are stated in terms of the $K$-functional that is naturally associated to the operator.
Journal: Ann. Sofia Univ., Fac. Math. and Inf., 105 (2018) 55-73
Strong Converse Inequalities for Bernstein Operators via Krawtchouk Polynomials
Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants
On approximation of functions by algebraic polynomials in Hölder spaces
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