SIMULTANEOUS APPROXIMATION OF SUMMABLE FUNCTION AND THEIR INTEGRALS BY VALLE POUSSIN’S OPERATORS IN SPACES
Journal Title: Молодий вчений - Year 2017, Vol 9, Issue 49
Abstract
The article presents the problems of simultaneous approximation of locally integrable functions on the real axis and their generalized integrals using operators Vallee Poussin. The asymptotic laws of behavior of the upper bounds of functionals are found that characterize this problem. Тне Valle-Poussin’s operators belong to the set of entire functions of exponential type . The cases have been considered in thesis when the classes are defined by slowly going downward and quickly going downword to zero functions and .
Authors and Affiliations
E. S. Silin
Keywords
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