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 $\frac{A+Bx}{(x^2+{\lambda }^2{)}^2}$, where $A,B\in {\mathbb…