Extensions and Applications of Power-Type Aczél-Vasić-Pečarić’s Inequalities

الملخص EN

In this paper, we enrich and develop power-type Aczél-Vasić-Pečarić’s inequalities.

First of all, we give some new versions of theorems and corollaries about Aczél-Vasić-Pečarić’s inequalities by quoting some lemmas.

Moreover, in combination with Hölder’s inequality, we give some applications of the new version of Aczél-Vasić-Pečarić’s inequality and give its proof process.