New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces

TL;DR

This paper introduces new reverse inequalities for Schwarz, triangle, and Bessel in inner product spaces, extending previous results and applying them to derive Gruss type and integral inequalities.

Contribution

It presents novel reverse inequalities in inner product spaces that complement prior work and are used to establish new Gruss type and integral inequalities.

Findings

New reverse Schwarz, triangle, and Bessel inequalities established.

Application of these inequalities to derive Gruss type inequalities.

Presentation of some natural integral inequalities.

Abstract

New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier paper. Further, they are employed to establish new Gruss type inequalities. Finally, some natural integral inequalities are stated as well.