id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-739	Gal, Sorin	Approximation by Complex Potentials Generated by the Euler's Beta Function	2010	15	.pdf	application/pdf	4890	199	84	= 1 Beta(α,β) · ∫ 1 0 tα−1(1− t)β−1[Ut( f )(z)− f (z)]d t, which together with the estimate |Ut( f )(z)− f (z)| ≤ Cr( f )t in Gal [2, p. 213, Theorem 3.2.5, (iii)], implies |Gα,β U ( f )(z)− f (z)| ≤ 1 Beta(α,β) · ∫ 1 0 tα−1(1− t)β−1|Ut( f )(z)− f (z)|d t ≤ Cr( f ) 1 Beta(α,β) · ∫ 1 0 tα(1− t)β−1d t = Cr( f ) · Beta(α+ 1,β) Beta(α,β)	cache/ejpam-739.pdf	txt/ejpam-739.txt