Abstract
High order differentiable functions of one real variable are approximated by univariate shift-invariant integral operators wavelet-like, and their generalizations. The high order of this approximation is estimated by establishing some Jackson type inequalities, involving the modulus of continuity of the Nth order derivative of the function under approximation. At the end we give applications to Probability. This chapter is based on [28].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2011). Quantitative Approximation by Univariate Shift-Invariant Integral Operators. In: Intelligent Mathematics: Computational Analysis. Intelligent Systems Reference Library, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17098-0_16
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DOI: https://doi.org/10.1007/978-3-642-17098-0_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17097-3
Online ISBN: 978-3-642-17098-0
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