## Question

###### Let Qn; n 0,1,2, be the polynomials of best approximation to f â‚¬ C*[a,6]. Show that the series Qo Xa_o[Qn+1 Qn] converges in the topology of the space, that is the series Xao[Qn+1 QaJla) uniformly converges on [a,b] for each q â‚¬ N: Hint: use the Markov inequality and the Jackson theorem_

Let Qn; n 0,1,2, be the polynomials of best approximation to f â‚¬ C*[a,6]. Show that the series Qo Xa_o[Qn+1 Qn] converges in the topology of the space, that is the series Xao[Qn+1 QaJla) uniformly converges on [a,b] for each q â‚¬ N: Hint: use the Markov inequality and the Jackson theorem_

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