Abstract
AbstractIn this paper, we study local approximation properties of certain gamma-type operators. They generalize the Post–Widder operators and the Rathore operators, and approximate locally integrable functions satisfying a certain growth condition on the infinite interval $$[0,\infty )$$
[
0
,
∞
)
. We derive the complete asymptotic expansion for these operators and prove a localization result. Also, we estimate the rate of convergence for functions of bounded variation.
Funder
Technische Hochschule Mittelhessen
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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