On the Approximation by Balázs–Szabados Operators

Adrian Holhoş
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Adrian Holhoş: Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului 28, RO-400114 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 14, 1-12

Abstract: 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.

Keywords: positive linear operators; Balázs operators; rational Bernstein type operators; weighted spaces; modulus of continuity; tail inequality; super-exponential functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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