Cater type inequalities involving Cater products and their applications in space science

Abstract

By means of the mathematical induction, stepwise adjustment method and the reorder method, under the proper hypotheses, we established the following Cater type inequalities involving Cater products:As applications, we solved the problem which proposed by M. Laub, Jerusalem and Israelin under the proper hypotheses, and an l -isoperimetric inequality in the centered n -surround system S (2) {P,Γ,l} is obtained as follows:|Γ| n 2π n .