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Euler-Grüss Type Inequalities Involving Measures

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Inequalities and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 157))

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Abstract

An inequality of Grüss type for a real Borel measure μ is proved. Some Euler-Grüss type inequalities are given, by using general Euler identities involving μ-harmonic sequences of functions with respect to a real Borel measure μ.

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References

  1. A. Čivljak, Lj. Dedić and M. Matić, Euler harmonic identities for measures, Nonlinear Funct. Anal. Appl. (accepted)

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Author information

Authors and Affiliations

  1. American College of Management and Technology, Rochester Institute of Technology, Don Frana Bulica 6, 20000, Dubrovnik, Croatia

    Ambroz Čivljak

  2. Department of Mathematics Faculty of Natural Sciences, Mathematics and Education, University of Split, Teslina 12, 21000, Split, Croatia

    Ljuban Dedić & Marko Matić

Authors
  1. Ambroz Čivljak
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  2. Ljuban Dedić
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  3. Marko Matić
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Editor information

Editors and Affiliations

  1. Institut Mathematik, Universität Basel, Rheinsprung 21, 4051, Basel, Switzerland

    Catherine Bandle

  2. Department Economic Analysis & Information Technology for Business, University of Debrecen, Kassai út.26, 4028, Debrecen, Hungary

    László Losonczi

  3. Department of Analysis Institute Mathematics & Informatics, University of Debrecen, Pf. 12, 4010, Debrecen, Hungary

    Attila Gilányi  & Zsolt Páles  & 

  4. Institut für Analysis, Universität Karlsruhe, Kaiserstrasse 12, 76128, Karlsruhe, Germany

    Michael Plum

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Čivljak, A., Dedić, L., Matić, M. (2008). Euler-Grüss Type Inequalities Involving Measures. In: Bandle, C., Losonczi, L., Gilányi, A., Páles, Z., Plum, M. (eds) Inequalities and Applications. International Series of Numerical Mathematics, vol 157. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8773-0_11

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