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

Abstract

Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Gruss type inequalities in inner product spaces. Some natural applications for integral inequalities are also pointed out.

References in corpus (3)

• Some Gruss Type Inequalities in Inner Product Spaces
• A Counterpart of Schwarz's Inequality in Inner Product Spaces
• Some Companions of Gruss Inequality in Inner Product Spaces

Cited by in corpus (4)

• Advances on Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces
• New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
• Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-McLenaghan Result
• Some inequalities for $(\alpha ,\beta )$-normal operators in Hilbert spaces