The powers of the bivariate Bernstein operators.
The Rate of Convergence for Linear Shape-Preserving Algorithms
We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.
The Voronovskaya theorem for some linear positive operators in exponential weight spaces.
In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+∞) and having the exponential growth at infinity. Some approximation properties of these operators are given in [3], [4].
The -transformation of certain positive linear operators.
Weak approximation by positive maps on -algebras
Weighted Approximation by a Class of Bernstein-Type Operators
AMS classification: 41A36, 41A10, 41A25, 41Al7.
Weighted uniform approximation on the semiaxis by rational operators.
Интерполяция непрерывных функций полиномами Бернштейна на триангулируемых областях
Некоторые точные неравенства для второго модуля непрерывности периодических функций и функций, продолженных с отрезка
О некоторых необходимых и достаточных признаках множеств Коровкина для операторов класса
О полиномиальном приближении нелинейных операторов в пространстве С.
О последовательной аппроксимации пространствами локальных функций