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An application of Korovkin's theorem to certain partial differential equations

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Functional Analysis, Holomorphy, and Approximation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 843))

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References

  1. Bauer, H.: Approximationssätze und abstrakte Ränder. Math. Phys. Semesterberichte 12 (1976) 141–173.

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  2. Berens, H.; Lorentz, G.G.: Theorems of Korovkin Type for positive linear operators on Banach lattices. Proc. Int. Symp. Approximation Theory, Austin, Texas, 1973.

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  3. Brosowski, B.: The completion of partially ordered vector spaces and Korovkin's theorem. Approximation Theory and Functional Analysis, North-Holland, 1979, p. 63–69.

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  4. Isaacson, E.; Keller, H.B.: Analyse numerischer Verfahren. Verlag Harri Deutsch, Zürich, Frankfurt 1973.

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  5. Jameson, G.: Ordered linear spaces. Springer-Verlag, Berlin, Heidelberg, New York 1970.

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  6. Korovkin, P.P.: Über die Konvergenz positiver linearer Operatoren im Raum der stetigen Funktionen (Russisch). Doklady Akad. Nauk. SSSR (N.S.) 90, 961–964 (1953).

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  7. Luxemburg, W.A.J.; Zaanen, A.G.: Riesz spaces, Vol. I. North-Holland Publishing Company, Amsterdam-London 1971.

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  8. Starke, P.: Diplom-Arbeit, Universität Frankfurt, 1978.

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Authors and Affiliations

  1. Johann Wolfgang Goethe Universität Frankfurt/Main Fachbereich Mathematik, Robert-Mayer-Str. 6 - 10, D-6000, Frankfurt

    Bruno Brosowski

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  1. Bruno Brosowski
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Silvio Machado

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© 1981 Springer-Verlag

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Brosowski, B. (1981). An application of Korovkin's theorem to certain partial differential equations. In: Machado, S. (eds) Functional Analysis, Holomorphy, and Approximation Theory. Lecture Notes in Mathematics, vol 843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089272

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  • DOI: https://doi.org/10.1007/BFb0089272

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10560-2

  • Online ISBN: 978-3-540-38529-5

  • eBook Packages: Springer Book Archive

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