1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2019★ 1 cited
Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update
K. A. Kopotun, D. Leviatan, I. A. Shevchuk
It is not surprising that one should expect that the degree of constrained (shape preserving) approximation be worse than the degree of unconstrained approximation. However, it tur…
math.CA2019
On one estimate of divided differences and its applications
K. A. Kopotun, D. Leviatan, I. A. Shevchuk
We give an estimate of the general divided differences , where some of the 's are allowed to coalesce (in which case, is assumed to be sufficiently smoo…
math.CA2014
New moduli of smoothness: weighted DT moduli revisited and applied
K. A. Kopotun, D. Leviatan, I. A. Shevchuk
We introduce new moduli of smoothness for functions , , , that have an st locally absolutely continuous derivative…