Strong Converse Inequality For Bernstein-Durrmeyer Operators

The purpose of this paper is to introduce K-functional K(f, t)n for studying the strong converse inequality for Bernstein-Durrmeyer opra-tors, then we use the inequality to extend the converse results about (f, t) for Bernstein-Durrmeyer oprators.Our main results are stated as follows:Theorem 1 For f C[0,1], there exists a constant R > 1 such that, for l > RnTheorem 2 For f C[0,1], 0 < h < 1/4, B = a(1 - ), 0 < a < 2, 0 < < 1, there exist n : = n(x,h) and a positive integer m satisfying, for x [0,1]...