Global smoothness preservation with second order modulus of smoothness

Year, pages: 2013, 1153 - 1161

We establish the global smoothness preservation of a function $f$ by the sequence of linear positive operators. Our estimate is in terms of the second order Ditzian-Totik modulus of smoothness. Application is given to the Bernstein operator.

Tachev, G. 2013. Global smoothness preservation with second order modulus of smoothness. In Mathematica Slovaca, vol. 63, no.5, pp. 1153-1161. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0162-x

Tachev, G. (2013). Global smoothness preservation with second order modulus of smoothness. Mathematica Slovaca, 63(5), 1153-1161. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0162-x