Approximation of continuous functions by Vallee-Poussin’s sums. (English) Zbl 1380.41007
Summary: Let \(V_{n,m}^{(\alpha,\beta)}(f;x)=\frac1{m+1}\sum\limits_{k=n}^{n+m}S_k^{(\alpha,\beta)}(f;x)\) be the Vallee-Poussin’s partial sums of Fourier-Jacobi series. In this paper, we study the deviations of \(V_{n,m}^{(\alpha,\beta)}(f;x)\) on \([-1,1]\) for continuous function \(f(x)\).
