Lp-mixed intersection bodies and star duality

The paper extends the two notions of the dual mixed volumes and L p-intersection body to q-dual mixed volumes and L p-mixed intersection body, respectively. Inequalities for the star dual of L p-mixed intersection bodies are established. © Indian Academy of Sciences.published_or_final_versio

On inverse Hilbert-type inequalities

This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.published_or_final_versio