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Functional Analysis and Approximation pp 433–442Cite as

The Dominated Integral of Functions of Two Variables

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Abstract

The dominated integral of a function of two real variables is introduced along the lines of [2].

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References

  1. Lewis, J.T. — Osgood, C.F. — Shisha, O., Infinite Riemann sums, the simple integral, and the dominated integral. In General Inequalities 1, E.F. Beckenbach, ed. (ISNM, vol. 41). Birkhäuser Verlag, Basel/Stuttgart, 1978, 233–242.

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  2. Osgood, C.F. — Shisha, O., The dominated integral. J. Approximation Theory 17 (1976), 150–165.

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  3. Osgood, C.F. — Shisha, O., Numerical quadrature of improper integrals and the dominated integral. J. Approximation Theory 20 (1977), 139–152.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Univ. of Rhode Island, Kingston, R.I., 02881, USA

    Narayan S. Murthy & Oved Shisha

  2. Naval Research Lab., Washington, D. C., 20375, USA

    Charles F. Osgood

Authors
  1. Narayan S. Murthy
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  2. Charles F. Osgood
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  3. Oved Shisha
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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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Murthy, N.S., Osgood, C.F., Shisha, O. (1981). The Dominated Integral of Functions of Two Variables. 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_39

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  • DOI: https://doi.org/10.1007/978-3-0348-9369-5_39

  • 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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