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math.CA2020
Exact pointwise estimates for polynomial approximation with Hermite interpolation
Kirill A. Kopotun, Dany Leviatan, Igor A. Shevchuk
We establish best possible pointwise (up to a constant multiple) estimates for approximation, on a finite interval, by polynomials that satisfy finitely many (Hermite) interpolatio…
math.CA2020
Interpolatory pointwise estimates for convex polynomial approximation
K. A. Kopotun, D. Leviatan, I. Petrova +1
This paper deals with approximation of smooth convex functions on an interval by convex algebraic polynomials which interpolate at the endpoints of this interval. We call s…