Multivariate Gauss-Weierstrass Operators on Unifor

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Multivariate Gauss-Weierstrass Operators on Uniform Approximation

∈ D thus using the A, Grundmann [47 a result of the known () 々 (f), now permit () (f) (n). So that g (x,) ∈ D then lf (z-h,) ~ Zf (z,) + f (z + h,) I ≤ 40, a glf + lg (x-h,) a 2g (x.) + g (x + h,) I ≤ 4f-gll + ≤ 4li, a ll ten llg ≤ 4lff-gIl +4 hljg1f taking both sides of the type inf, from () we can see } 1f (x-h,) ~ 2f (x ,,) + F (x +.) J1 ≤ 4K (,, h) ≤ M then (iil) (n) certified . The same reason ( ) can get (iii) (6) then () (iiil proved . now permit ()()。 by ( 2.1) and use a dollar GaussWeierstrass operator Wn ( plant) of the results [ 1,23 ] , we can get - Ten + ('irj27rjT such as ((·);) a () l ≤ M: (; to ...'....。,,() + (z-f) 1, so that by (iii) obtain n ¨,[link widoczny dla zalogowanych], 1J {≤ Msup Msupsup ≤ Mn.. ≤ Similarly, the availability of l-, l ≤ Mm so there l Above method can be extended to the case element . [1 ] declared before training on a 137 to 142 Gauss . (2 ] declared before training on a 131 Gauss for a l38