A cubic spline of tri-monotone approximation

• Дата: 2017
• Автори: Dzyubenko, G. A., Дзюбенко, Г. A.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/34
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

For any 3-monotone on $[????,????]$ function $????$ (its third divided differences are nonnegative for all choices of four distinct points, or equivalently, $????$ has a convex derivative on $(????,????)$) we construct a cubic 3-monotone (like $????$) spline $????$ with $???? \in N$ ”almost” equidis...