• Title of article

    Representations of Error Terms in Jensen’s and Some Related Inequalities with Applications*

  • Author/Authors

    Milan Merkle، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 1999
  • Pages
    15
  • From page
    76
  • To page
    90
  • Abstract
    We give integral representations of error terms in the classical Jensen’s inequality as well as in four related inequalities. Starting from these results, it is possible to derive various lower and upper asymptotic expansions for solutions of the functional equation f xq1.yf x.sg x.. In particular, we present several results concerning the gamma function
  • Keywords
    Convexity , Jensen’s inequality. , gamma function , diagamma function
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    1999
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    932005