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Absolute Optimal Constants

In: Approximation Theory Using Positive Linear Operators

Author

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  • Radu Păltănea

    (Transilvania University, Department of Mathematics)

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.

Suggested Citation

  • Radu Păltănea, 2004. "Absolute Optimal Constants," Springer Books, in: Approximation Theory Using Positive Linear Operators, chapter 3, pages 69-87, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2058-9_3
    DOI: 10.1007/978-1-4612-2058-9_3
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