Approximation of Functions from the Holder Class on a Half-Axis

Byline: T. S. Davydova (1), N. A. Shirokov (2) Abstract: Let I.sub.[alpha] (0 &lt [alpha] &lt 1) be the Holder class on the semi-axis [0,[infinity]). We characterize the class I.sub.[alpha] by rates of approximation of its functions by entire functions of order 1/2 belonging to a special class (similarly to the classical JacksonaBernstein theorem). Bibliography: 4 titles. Author Affiliation: (1) St.Petersburg State Pedagogical University, Russia (2) Russia Article History: Registration Date: 18/10/2004