Absolute Optimal Constants

Radu Păltănea
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Radu Păltănea: Transilvania University, Department of Mathematics

Chapter 3 in Approximation Theory Using Positive Linear Operators, 2004, pp 69-87 from Springer

Abstract: Abstract We point out the optimality of the estimate given in Theorem 2.2.2, for s = 2, in a stronger sense than the optimality of the constants. Let x be an interior point of I and denote by U x (I) the family of all linear positive functionals F defined on a subspace V F ⊂ℱ b (I), with the property F(e0) = 1, F(e1) = x and which are admissible related to the point x.

Keywords: Interior Point; General Functional; Borel Measure; Arbitrary Interval; Bernstein Operator (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2058-9_3

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DOI: 10.1007/978-1-4612-2058-9_3

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