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Functional Inequalities and Equivalences of Some Estimates

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Inequalities and Applications 2010

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 161))

Abstract

The purpose of the chapter is to deal with some old and a few new functional inequalities which are motivated by well-known estimates on the real line or on an interval which involve the exponential function. We are concerned with the following six functional inequalities:

and

$$ (1+y)f(x) \leq f(x+y).$$

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Silesia, Bankowa 14, 40-007, Katowice, Poland

    Włodzimierz Fechner

Authors
  1. Włodzimierz Fechner
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Correspondence to Włodzimierz Fechner .

Editor information

Editors and Affiliations

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

    Catherine Bandle

  2. Faculty of Informatics, University of Debrecen, Pf. 12, Debrecen, 4010, Hungary

    Attila Gilányi

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

    László Losonczi

  4. , Institute of Analysis, KIT, Kaiserstr. 12, Karlsruhe, 76128, Germany

    Michael Plum

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Fechner, W. (2012). Functional Inequalities and Equivalences of Some Estimates. In: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0249-9_18

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