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Preservation of Lipschitz constants by Bernstein type operators
Authors:AJ?L&#;pez-Moreno
Institution:(1) Departamento de Matemáticas, Universidad de Jaén, Campus las Lagunillas S/N, 23071 Jaén, Spain
Abstract:Summary We obtain preservation inequalities for Lipschitz constants of higher order in simultaneous approximation processes by Bernstein type operators. From such inequalities we derive the preservation of the corresponding Lipschitz spaces.
Keywords:Baskakov operators  simultaneous approximation  modulus of continuity  Lipschitz spaces  Lipschitz constants
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