V. V. Savchuk

collaborators

2 papers

math.CV2023

Extremal problems of weighted approximation on the real axis

V. V. Savchuk, S. O. Chaichenko, A. L. Shidlich

We calculated the exact value and found the polynomial of the best weighted polynomial approximation of the kernels of the form $\frac{A + B x}{( x ^{2} + λ ^{2} ) ^{2}}$ , where $A,B\in {\mathbb…

math.CA2016

Direct and inverse approximation theorems of $2 π$ -periodic functions by Taylor--Abel--Poisson means

Jürgen Prestin, Viktor Savchuk, Andrii Shidlich

We obtain direct and inverse approximation theorems of $2 π$ -periodic functions by Taylor--Abel--Poisson operators in the integral metric.

Extremal problems of weighted approximation on the real axis

Direct and inverse approximation theorems of 2π-periodic functions by Taylor--Abel--Poisson means

Direct and inverse approximation theorems of $2 π$ -periodic functions by Taylor--Abel--Poisson means