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On Global Smoothness Preservation by Bernstein Operators
Authors:Ioan Gavrea
Affiliation:(1) Technical University of Cluj-Napoca, Str. C. Diacoviciu 15, 3400 Cluj-Napoca, Romania
Abstract:We investigate the global smoothness preservation by Bernstein operators measured by second-order modulus of smoothness and give a partial answer for a conjecture raised by H. H. Gonska in 1998.
Keywords:Global smoothness preservation  best constants  Bernstein operator  second-order modulus
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