Wolstenholme’s inequality and its relation to the Barrow and Garfunkel-Bankoff inequalities

Abstract

Many readers are familiar with the celebrated Finsler-Hadwiger and Weitzenböck’s inequality in triangle geometry. On the other hand, Wolstenholme’s inequality is not widely known, but is equally important and in an indirect way can be used to derive these two. We will introduce it and then show its strength.