A Decomposition of the Limit q-Bernstein Type Operators Via a Universal Factor
Abstract
Abstract The focus of this work is on the properties of the unifying operator $$U_q$$ U q on C [0, 1], which serves as a universal left factor in a decomposition of the limit q -Bernstein type operators, $$L_{\infty ,q}$$ L ∞ , q . More precisely, the factorization $$L_{\infty ,q}= U_q\circ T_L$$ L ∞ , q = U q ∘ T L , where $$T_L$$ T L is a linear operator on C [0, 1] depending on L , holds. It is shown that this factorization facilitates the derivation of new results and/or the simplification of proofs for the known ones.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Advanced Banach Space Theory
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Results in Mathematics
- Volume
- 81
- Issue
- 1
- Publication date
- 13 January 2026
- Language
- EN