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1 results

  • Some inequalities of Bessel and modified Bessel functions

  • Part of
  • C. M. Joshi, S. K. Bissu
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 50 / Issue 2 / April 1991
    Published online by Cambridge University Press:
    09 April 2009, pp. 333-342
    Print publication:
    April 1991
    • Article
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  • Two-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also discussed. These then lead to a two-sided inequality for Bessel functions. Also incorporated in the discussion is an inequality for the ratio of two Bessel functions for 0 < x < 1. Verifications of these inequalities are pointed out numerically.