<p>Our aim in this paper is to derive some Turán type inequalities for modified big <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(q\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>q</mi> </math></EquationSource> </InlineEquation>-Bessel functions. Furthermore, some Turán type inequalities of sections for series of aforementioned functions are established. The method is based on proving monotonicity for the special ratio of sections for series of such functions.</p>

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Turán type inequalities for modified big \(q\) -Bessel functions

  • E. Deniz,
  • S. Korkmaz,
  • Y. özkan

摘要

Our aim in this paper is to derive some Turán type inequalities for modified big \(q\) q -Bessel functions. Furthermore, some Turán type inequalities of sections for series of aforementioned functions are established. The method is based on proving monotonicity for the special ratio of sections for series of such functions.