广义[公式：见原文]-布莱曼-布策尔-哈恩算子及一些逼近结果。
Generalized [Formula: see text]-Bleimann-Butzer-Hahn operators and some approximation results.
作者信息
Mursaleen M, Nasiruzzaman Md, Ansari Khursheed J, Alotaibi Abdullah
机构信息
Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.
Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589 Saudi Arabia.
出版信息
J Inequal Appl. 2017;2017(1):310. doi: 10.1186/s13660-017-1582-x. Epub 2017 Dec 19.
The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text]-integers which is based on a continuously differentiable function on [Formula: see text]. We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators.
本文的目的是通过使用基于在[公式：见文本]上连续可微函数的[公式：见文本]-整数来引入Bleimann-Butzer-Hahn算子的一种新的推广形式。我们建立了Korovkin型逼近结果，并利用连续性模来计算逼近度。此外，我们研究了这些算子的保形性质。
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