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Pointwise Estimate for Linear Combinations of Bernstein–Kantorovich Operators

✍ Scribed by Shunsheng Guo; Lixia Liu; Qiulan Qi


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
115 KB
Volume
265
Category
Article
ISSN
0022-247X

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✦ Synopsis


For linear combinations of Bernstein-Kantorovich operators K n r f x , we give an equivalent theorem with ω 2r ϕ λ f t . The theorem unites the corresponding results of classical and Ditzian-Totik moduli of smoothness.


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The Characterization of the Derivatives
✍ Song Li; Ren Tai Wang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 131 KB

The aim of the paper is to characterize the global rate of approximation of derivatives f (l) through corresponding derivatives of linear combinations of Post Widder operators in an appropriate weighted L p -metric using a weighted Ditzian and Totik modulus of smoothness, and also to characterize de