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WEIGHTED Lp-APPROXIMATION OF DERIVATIVES BY THE METHOD OF BETA OPERATORS |
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| Institution: | 1. School of Physics and Materials Engineering, Hefei Normal University, Hefei 230601, China;2. School of Electronic Information and Electrical Engineering, Hefei Normal University, Hefei 230601, China;3. Universities Joint Key Laboratory of Photoelectric Detection Science and Technology in Anhui Province, Hefei 230601, China;4. National Laboratory for Infrared Physics, Shanghai, Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China |
| Abstract: | The author consides Beta operators βnf on suitable Sobolev type subspace of Lp0, ∞) and characterizes the global rate of approximation of derivatives f(τ) through corresponding derivatives (βnf)(τ) in an appropriate weighted Lp-metric by the rate of Ditzian and Totik's τ-th order weighted modulus of Smoothness. |
| Keywords: | Beta operators weighted modulus of smoothness weighted K-functional 41A10 41A15 |
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