Donetsk National Medical University

most citedExact estimation of an approximation of some classes of differentiable functions by convolution operators

1 citations

researchers with a paper here

Evgeniy Petrov1
G. Kozub1
Oleksiy Dovgoshey1
В. П. Заставный1

collaborating institutions

Donetsk National Technical UniversityUA2 papers
Vasyl' Stus Donetsk National UniversityUA2 papers
National Academy of Sciences of UkraineUA1 paper

2 papers

math.MG2012

Metric products and continuation of isotone functions

O. Dovgoshey, E. Petrov, G. Kozub

Let $R_{+} = [0, \infty)$ and let $A \subseteq R_{+}^{n}$ . We have found the necessary and sufficient conditions under which a function $Φ : A \to R_{+}$ has an isotone s…

math.CA2010★ 1 cited

Exact estimation of an approximation of some classes of differentiable functions by convolution operators

Viktor P. Zastavnyi

Nikol'skii known theorem for the kernels satisfying a condition $A_{n}^{*}$ , is proved and for kernels from wider class. Explicit formulas for calculating the value of an approximation…