Ulrich Abel

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20242026

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math.CA2026

Complete asymptotic expansion for a Durrmeyer variant of operators based on Hermite polynomials

Ulrich Abel, Naim L. Braha

In this paper, we study a Durrmeyer variant of the positive linear operators based on two-variable Hermite polynomials recently introduced by G. Krech (2016). Our main objective is…

math.NA2026

Korovkin type theorems for operators acting on functions of polynomial and exponential growth on $[0, \infty)$

Ulrich Abel, Ana-Maria Acu, Margareta Heilmann +1

We prove two Korovkin-type approximation theorems for sequences of positive linear operators acting on continuous functions on $[0, \infty)$ . Under the assumption of pointwise conve…

Complete asymptotic expansion for a Durrmeyer variant of operators based on Hermite polynomials

Korovkin type theorems for operators acting on functions of polynomial and exponential growth on [0,∞)

Korovkin type theorems for operators acting on functions of polynomial and exponential growth on $[0, \infty)$