| Abstrakt: |
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: X ⊗ Y ≥ K+ X ⊗ Y > e-1 and f ⊗ g ≥ f(1 - t) ⊗ g > e-1. 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, ᴦ 1} is obtained as follows: [u] ⊗ [I] ≥ (|ᴦ|/n)2π. [ABSTRACT FROM AUTHOR] |
