杜尔梅耶 - 贝塞尔型算子的逼近度
Approximation degree of Durrmeyer-Bézier type operators.
作者信息
Agrawal Purshottam N, Araci Serkan, Bohner Martin, Lipi Kumari
机构信息
1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India.
2Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep, Turkey.
出版信息
J Inequal Appl. 2018;2018(1):29. doi: 10.1186/s13660-018-1622-1. Epub 2018 Feb 22.
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means of the unified Ditzian-Totik modulus of smoothness. Furthermore, the rate of convergence for functions having derivatives of bounded variation is discussed.
最近，引入了一种混合杂交算子，它推广了著名的菲利普斯算子和巴斯卡科夫 - 萨斯型算子。在本文中，我们研究这些新算子的贝塞尔变体。我们通过利普希茨类函数、连续性模和加权空间来研究这些算子的逼近度。我们借助统一的迪茨安 - 托蒂克光滑模研究一个直接逼近定理。此外，还讨论了具有有界变差导数的函数的收敛速度。
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