Generalizations of Refined Hölder’s Inequalities and Their Applications

الملخص EN

We present several new generalized versions of refined Hölder’s inequalities proposed by Tian and Hu.

And then we obtained some new generalized and sharp versions of Hölder’s inequalities.

As the applications, the obtained results are used to improve Aczél-Popoviciu type inequality and Aczél-Vasić-Pečarić inequality.