AN ESTIMATION TO THE SOLUTION OF AN INITIAL VALUE PROBLEM VIA q-BERNSTEIN POLYNOMIALS

Abstract

In the present paper, we give ail estimation to the differerence vertical bar B(n-1)(f,q;x) - B(n)(.f;q;x)vertical bar, where B(n)(f;q;x) is the q-Bernstein Polynomials (see [15]) and then we construct an approximating sequence for the solution of the initial value problem.