Monotonicity properties of some Dini functions

A. Baricz, Tibor K. Pogany, Robert Szasz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expansion for the derivative of a normalized Bessel function of the first kind. These monotonicity properties are used to obtain some new inequalities for Bessel functions of the first kind.

Original languageEnglish
Title of host publicationSACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings
PublisherIEEE Computer Society
Pages323-326
Number of pages4
ISBN (Print)9781479946945
DOIs
Publication statusPublished - 2014
Event9th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2014 - Timisoara
Duration: May 15 2014May 17 2014

Other

Other9th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2014
CityTimisoara
Period5/15/145/17/14

Fingerprint

Bessel functions
Derivatives

Keywords

  • absolute monotonicity
  • Bessel functions of the first kind
  • Dini functions
  • inequalities
  • infinite product
  • monotonicity properties

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Baricz, A., Pogany, T. K., & Szasz, R. (2014). Monotonicity properties of some Dini functions. In SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings (pp. 323-326). [6840085] IEEE Computer Society. https://doi.org/10.1109/SACI.2014.6840085

Monotonicity properties of some Dini functions. / Baricz, A.; Pogany, Tibor K.; Szasz, Robert.

SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings. IEEE Computer Society, 2014. p. 323-326 6840085.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Baricz, A, Pogany, TK & Szasz, R 2014, Monotonicity properties of some Dini functions. in SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings., 6840085, IEEE Computer Society, pp. 323-326, 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2014, Timisoara, 5/15/14. https://doi.org/10.1109/SACI.2014.6840085
Baricz A, Pogany TK, Szasz R. Monotonicity properties of some Dini functions. In SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings. IEEE Computer Society. 2014. p. 323-326. 6840085 https://doi.org/10.1109/SACI.2014.6840085
Baricz, A. ; Pogany, Tibor K. ; Szasz, Robert. / Monotonicity properties of some Dini functions. SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings. IEEE Computer Society, 2014. pp. 323-326
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