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Exponential Convexity Induced by Steffensen’s Inequality and Positive Measures

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Abstract

Using measure theoretic generalization of Steffensen’s inequality we produce linear functionals and then, through their action on families of already known exponentially convex functions, we construct new examples of exponential convexity.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000, Zagreb, Croatia

    Julije Jakšetić

  2. Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000, Zagreb, Croatia

    Josip Pečarić & Ksenija Smoljak Kalamir

Authors
  1. Julije Jakšetić
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  2. Josip Pečarić
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  3. Ksenija Smoljak Kalamir
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Correspondence to Ksenija Smoljak Kalamir.

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Jakšetić, J., Pečarić, J. & Smoljak Kalamir, K. Exponential Convexity Induced by Steffensen’s Inequality and Positive Measures. Results Math 73, 136 (2018). https://doi.org/10.1007/s00025-018-0897-3

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  • DOI: https://doi.org/10.1007/s00025-018-0897-3

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