On the Approximation by Balázs–Szabados Operators

Mathematics

Adrian Holhoş¹ 

[1] Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului 28, RO-400114 Cluj-Napoca, Romania;

关键词: positive linear operators;    Balázs operators;    rational Bernstein type operators;    weighted spaces;    modulus of continuity;    tail inequality;   

DOI  :  10.3390/math9141588

来源: DOAJ

【 摘 要 】

We present three new approximation properties of the Balázs–Szabados operators. Firstly, we prove that, in certain cases, these operators approximate some super-exponential functions on compact intervals. Next, we provide a new estimate of the error of approximation using a suitable modulus of continuity. Finally, we characterize the functions which can be uniformly approximated in the weighted norm of polynomial weight spaces.

【 授权许可】

Unknown