An estimate for derivative of the de la Vallee Poussin mean
Kentaro Itoh, Ryozi Sakai, Noriaki Suzuki
TL;DR
This paper investigates the derivative of the de la Vallee Poussin mean for exponential weights on the real line, emphasizing the role of Christoffel function estimates in deriving inequalities.
Contribution
It provides new estimates for the derivative of the de la Vallee Poussin mean using Christoffel function bounds for exponential weights.
Findings
Derived inequalities for the derivative of the de la Vallee Poussin mean
Established importance of Christoffel function estimates
Enhanced understanding of approximation properties for exponential weights
Abstract
In this paper, we discuss derivative of the de la Vallee Poussin mean for exponential weights on real line. When we lead an inequality, an estimate for the Christoffel function plays an important role.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematical functions and polynomials