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Uniqueness of Optimal Piecewise Polynomial L1 Approximations for Generalized Convex Functions

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Functional Analysis and Approximation

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Abstract

It is shown that the optimal piecewise mth degree polynomial L1-approximation of a generalized convex function f(f(m+1) positive) is unique, if log f(m+1) is concave.

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References

  1. Meinardus, G., Approximation of Functions: Theory and Numerical Methods. Springer, New York 1967.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, National Technical University, Athens, Greece

    John B. Kioustelidis

Authors
  1. John B. Kioustelidis
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Editor information

Editors and Affiliations

  1. Lehrstuhl A für Mathematik, Rhein.-Westf. Techn. Hochschule Aachen, Templergraben 55, D-51, Aachen, Germany

    P. L. Butzer  & E. Görlich  & 

  2. József Attila Tudományegyetem, Aradi vértanúk tere 1, H-6720, Szeged, Hungary

    B. Sz.-Nagy

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© 1981 Birkhäuser Verlag Basel

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Kioustelidis, J.B. (1981). Uniqueness of Optimal Piecewise Polynomial L1 Approximations for Generalized Convex Functions. In: Butzer, P.L., Sz.-Nagy, B., Görlich, E. (eds) Functional Analysis and Approximation. ISNM 60: International Series of Numerical Mathematics / ISNM 60: Internationale Schriftenreihe zur Numerischen Mathematik / ISNM 60: Série internationale d’Analyse numérique, vol 60. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9369-5_38

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  • DOI: https://doi.org/10.1007/978-3-0348-9369-5_38

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9371-8

  • Online ISBN: 978-3-0348-9369-5

  • eBook Packages: Springer Book Archive

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