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Natural norm inequalities in nonlinear transforms

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General Inequalities 7

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 123))

Abstract

We shall show the existence of natural norm inequalities in some general nonlinear transforms of reproducing kernel Hilbert spaces and as its applications we shall derive typical concrete norm inequalities in the nonlinear transforms.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu, 376, Japan

    Saburou Saitoh

Authors
  1. Saburou Saitoh
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, University of Basel, Rheinsprung 21, 4051, Basel, Switzerland

    Catherine Bandle

  2. School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, England, UK

    William N. Everitt

  3. Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait

    Laszlo Losonczi

  4. Institue of Mathematics I, University of Karlsruhe, Kaiserstr. 12, 76128, Karlsruhe, Germany

    Wolfgang Walter

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© 1997 Springer Basel AG

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Saitoh, S. (1997). Natural norm inequalities in nonlinear transforms. In: Bandle, C., Everitt, W.N., Losonczi, L., Walter, W. (eds) General Inequalities 7. ISNM International Series of Numerical Mathematics, vol 123. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8942-1_4

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  • DOI: https://doi.org/10.1007/978-3-0348-8942-1_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9837-9

  • Online ISBN: 978-3-0348-8942-1

  • eBook Packages: Springer Book Archive

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