2 papers
math.CA2025
Existence and explicit form of nonlinear Hermite-Chebyshev approximations
A. P. Starovoitov, I. V. Kruglikov
In this paper, sufficient conditions for the existence of trigonometric Hermite-Jacobi appro\-ximations of a system of functions that are sums of convergent Fourier series are foun…
math.CA2025
Consistent rational approximations of power series, trigonometric series and series of Chebyshev polynomials
A. P. Starovoitov, I. V. Kruglikov, T. M. Osnach
For trigonometric series and series of Chebyshev polynomials, we defined trigonometric Hermite-Padé and Hermite-Jacobi approximations, linear and nonlinear Hermite-Chebyshev appro…