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Bounds for Jaeger integrals

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Abstract

Lower and upper bounds are deduced for some Jaeger integrals which involve the Bessel functions of the first and second kind. The upper bounds contain some elementary functions as well as incomplete gamma functions, while the lower bounds are expressed also in terms of incomplete gamma functions and are deduced via some known inequalities for Bessel functions of the first and second kinds.

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Acknowledgments

The authors are indebted to both unknown referees and to the editor for their constructive comments and suggestions, which substantially encompassed the article complementing the study.

Author information

Authors and Affiliations

  1. Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania

    Árpád Baricz

  2. Institute of Applied Mathematics, Óbuda University, Budapest, 1034, Hungary

    Árpád Baricz, Tibor K. Pogány & Imre Rudas

  3. Faculty of Maritime Studies, University of Rijeka, 51000, Rijeka, Croatia

    Tibor K. Pogány

  4. Indian Statistical Institute, Chennai Centre, Society for Electronic Transactions and Security, MGR Knowledge City, CIT Campus, Taramani, Chennai, 600113, India

    Saminathan Ponnusamy

Authors
  1. Árpád Baricz
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  2. Tibor K. Pogány
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  3. Saminathan Ponnusamy
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  4. Imre Rudas
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Corresponding author

Correspondence to Tibor K. Pogány.

Additional information

The research of Á. Baricz was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. The work of Tibor K. Pogány was supported by the Croatian Science Foundation under the Project No. 5435/2014.

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Baricz, Á., Pogány, T.K., Ponnusamy, S. et al. Bounds for Jaeger integrals. J Math Chem 53, 1257–1273 (2015). https://doi.org/10.1007/s10910-015-0485-7

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  • DOI: https://doi.org/10.1007/s10910-015-0485-7

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