ON THE FAVARD’S CONSTANTS
The paper investigates the general properties of the sequence of well-known Favard's constants, which play an important role in estimates of approximations of periodic functions by trigonometric polynomials. For the considered numerical sequence, a number of questions related to monotonicity, boundness, and asymptotic representation have been studied in detail. The connection of the Favard's constants with the Bernoulli and Euler numbers is noted.