Grüss-type inequalities for positive linear operators with second order moduli
Approximation, numerical differentiation and integration based on Taylor polynomial.
A lower bound for the second moment of Schoenberg operator.
The Lower Estimate for Bernstein Operator
MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.
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