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The notion of μ-smooth point of an Lp(Rn)Open image in new window-function f is introduced in terms of some ‘maximal function.’ Then the connection between the order of μ-smoothness of the function f and the rate of convergence of the Gauss-Weierstrass means to f, when ε tends to 0, is obtained.

On degree of approximation of the Gauss-Weierstrass means for smooth L p ( R n ) functions