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(4) Hn(f, xín) = f(xk(n) (k= 1,2, •■■,»), (5) £r,'(/, 4"') =0 (* 1, 2, • • •, »). 2. Suppose / is a real function, continuous in [ — 1,1 ]. Then a classical result of Fejér [l] states that Hn(f, x) converges uniformly to f(x) on [ — 1, l]. As to the rapidity of convergence, E. Moldovan published in [2] the estimate max_iSI£i \f(x)—Hn(f,x)\ ^2xco(«_1log»), where 03 is the modulus of continuity of / in [ — 1, 1 ]. 3. One of our purposes in this paper is to construct an analog of the polynomial (1) for functions / of several variables and to study the corresponding rapidity of convergence. Since the Romanian paper

The rapidity of convergence of the Hermite-Fejér approximation to functions of one or several variables