On lp-convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure
نویسندگان
چکیده
منابع مشابه
On L-convergence of Bernstein–durrmeyer Operators with Respect to Arbitrary Measure
S d := {x = (x1, . . . , xd) ∈ R : 0 6 x1, . . . , xd 6 1, 0 6 x1 + · · ·+ xd 6 1} denote the standard simplex in R. We denote by ∂S the boundary of S. We will also use barycentric coordinates on the simplex which we denote by the boldface symbol x = (x0, x1, . . . , xd), x0 := 1−x1−· · ·−xd. We will use standard multiindex notation such as x := x0 0 x α1 1 · · ·xd d and α n := (α0 n , α1 n , ·...
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*Correspondence: [email protected] College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, People’s Republic of China Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, 050024, People’s Republic of China Abstract We give the direct and inverse approximation theorems for a new type of Bernstein-Durrmeyer operators with the mod...
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2014
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim1410023b