On the degree of approximation by Gauss Weierstrass integrals

Abstract

We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p), p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).

Keywords

• Lip(Ψ(u,v);p) class
• Gauss Weierstrass integral
• arithmetic means
• Jackson operator
• degree of approximation
• Fourier series
• Hölder's inequality.