✦ LIBER ✦

Pointwise Approximation for Linear Combinations of Bernstein Operators

✍ Scribed by Shunsheng Guo; Cuixiang Li; Xiwu Liu; Zhanjie Song

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 140 KB
Volume: 107
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.2000.3504

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Pointwise Estimate for Linear Combinatio

Pointwise Estimate for Linear Combinations of Bernstein–Kantorovich Operators

✍ Shunsheng Guo; Lixia Liu; Qiulan Qi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 115 KB

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.

On the Rates of Approximation of Bernste

On the Rates of Approximation of Bernstein Type Operators

✍ Xiao-Ming Zeng; Fuhua (Frank) Cheng 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 135 KB

On Spectral Approximation of Linear Oper

On Spectral Approximation of Linear Operators

✍ Rafikul Alam 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 201 KB

On the Limits of (Linear Combinations of

On the Limits of (Linear Combinations of) Iterates of Linear Operators

✍ Hans-Jörg Wenz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 400 KB

We give necessary and sufficient conditions such that iterates or certain linear combinations of iterates of linear operators of finite dimensional range, respectively, converge. In case of convergence, we give an expression for the limit as well as estimates for the rate of convergence. Our results

Approximation by Linear Combinations of

Approximation by Linear Combinations of Fundamental Solution of the Lamé Operator

✍ Uwe Hamann 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

Let L be the LAME operator defined by Lu = n u + p grad div u ( p > 0, u = = (ul, u,, u ~) ~) . We denote the fundamental solution of L by E = (Eij)i<j= 1,2,3. By Ei = (Eli, E,,, E3i)T(i = 1, 2, 3) we denote the column vectors of E. Let r be the Cm-smooth boundary of a bounded domain 52 c R3 with c

Approximation of Unbounded Functions by

Approximation of Unbounded Functions by Linear Positive Operators

✍ H. S. Kasana; H. Sollervall 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 293 KB

## Abstract A unified class of linear positive operators has been defined. Using these operators some approximation estimates have been obtained for unbounded functions. For particular linear positive operators these results sharpen and improve the earlier estimates due to Fuhua Cheng (J. Approx. T