On new class of linear and positive operators

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• 作者：Prashantkumar Patel ; Vishnu Narayan Mishra
• 关键词：Positive linear operators ; Lupa? operators ; Degree of approximation ; Asymptotic formula ; Primary 41A25 ; 41A30 ; 41A36 ; Secondary 47B
• 刊名：Bollettino dell'Unione Matematica Italiana
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：8
• 期：2
• 页码：81-96
• 全文大小：516 KB
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• 作者单位：Prashantkumar Patel (1) (2)
  Vishnu Narayan Mishra (1) (3)
  
  1. Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, Gujarat, 395 007, India
  2. Department of Mathematics, St. Xavier’s College (Autonomous), Ahmedabad, Gujarat, 380 009, India
  3. L. 1627 Awadh Puri Colony Beniganj, Phase-III, Opposite-Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad, Uttar Pradesh, 224 001, India
  
• 刊物类别：Mathematics, general;
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：2198-2759

文摘

In the present manuscript, we propose the generalization of Lupa? operators, which is a new class of linear positive operators of discrete type depending on real parameters. We discuss some approximation properties of these modified operators. At the end, we mention few generalizations of the new operators for further study in this direction. Keywords Positive linear operators Lupa? operators Degree of approximation Asymptotic formula