Korovkin Type Theorem for Sequences of Operators Depending on a Parameter

Demonstratio mathematica

article

Zoltán Finta¹ 

[1] BABEȘ-BOLYAI UNIVERSITY DEPARTMENT OF MATHEMATICS;M. KOGĂLNICEANU

关键词: Korovkin’s theorem;    q-integers;    q-Bernstein operators;    modulus of smoothness;    K-functionals;   

DOI  :  10.1515/dema-2015-0027

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

We establish necessary and sufficient conditions for a parameter depending sequence (L n,λ ) n≥1 of positive linear operators such that (L n,λ ) n≥1 converges in the strong operator topology to its limit operator. Some applications of our theorem are also presented.

【 授权许可】

CC BY