Work

A Decomposition of the Limit q-Bernstein Type Operators Via a Universal Factor

Year: 2026

Type: article

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.

Source: Results in Mathematics

DOI: 10.1007/s00025-025-02593-1

Authors: Sofiya Ostrovska, Lütfi Atahan Pirimoğlu, Mehmet Turan

Institution: Atilim University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Atilim Üniversitesi