Yakhnin B M

Publications in Math-Net.Ru

1. An estimate for the least upper bound of arithmetic mean Fourier sums of Legendre polynomials.
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1964, no. 6,  179–187
2. Approximation of functions of class $\mathrm{Lip}\alpha$ by partial sums of a Fourier series in Chebyshev polynomials of second kind
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 1,  172–178
3. On the partial sums of the Fourier-Jacobi expansion of functions of class $\operatorname{Lip}\alpha$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 3,  261–267
4. A relationship between the Lebesgue functions of an expansion into series of Jacobi polynomials orthonormalized with the weight function $P(x)=\sqrt{\dfrac{1+x}{1-x}}$ and the Chebyshev polynomials
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 1,  202–207
5. Lebesgue functions for expansions in series of Jacobi polynomials for the cases $\alpha=\beta=\frac12$, $\alpha=\beta=-\frac12$, $\alpha=\frac12$, $\beta=-\frac12$
   
   Uspekhi Mat. Nauk, 13:6(84) (1958),  207–211