We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
King operators which preserve x<sup>j</sup>.
- Authors
FINTA, ZOLTÁN
- Abstract
We prove the unique existence of the functions rn (n = 1; 2;:::) on [0; 1] such that the corresponding sequence of King operators approximates each continuous function on [0; 1] and preserves the functions e0(x) = 1 and ej (x) = xj, where j 2 f2; 3;:::g is fixed. We establish the essential properties of rn, and the rate of convergence of the new sequence of King operators will be estimated by the usual modulus of continuity. Finally, we show that the introduced operators are not polynomial and we obtain quantitative Voronovskaja type theorems for these operators.
- Subjects
NORMAL operators; POLYNOMIALS; VECTORS (Calculus); LAPLACIAN matrices; EUCLIDEAN geometry
- Publication
Constructive Mathematical Analysis, 2023, Vol 6, Issue 2, p90
- ISSN
2651-2939
- Publication type
Article
- DOI
10.33205/cma.1259505