• Title of article

    Exponential, gamma and polygamma functions: Simple proofs of classical and new inequalities

  • Author/Authors

    Laforgia، نويسنده , , Andrea and Natalini، نويسنده , , Pierpaolo، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2013
  • Pages
    10
  • From page
    495
  • To page
    504
  • Abstract
    Some inequalities for the exponential, gamma and polygamma functions are established by means of the mean value theorem of differential calculus. In particular, the cases of the ratio of gamma and polygamma functions are considered. In some cases the results are new, in some others, classical results are recovered or extended.
  • Keywords
    mean value theorem , inequalities , gamma function , Ratio of gamma functions , Polygamma functions
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2013
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1563849