REVERSES OF SCHWARZ, TRIANGLE AND BESSEL INEQUALITIES IN INNER PRODUCT SPACES

By Sever Silvestru Dragomir. 2003

50 citations recorded by the source corpus.

Reverses of the 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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/325ea452b7b2ed1fefabfa2851f998ba42afa641

Citations in the corpus

• New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces (2008, unknown): “With the assumptions in Lemma 1 and if Re ( βα ) > 0 , Re ( δγ ) > 0 then The first inequality has been established in [ 6 ] (see [ 10 , p. 62]) while the second one can be obtained in a canonical manner from the reverse of the Schwarz inequality given in [ 7 ].”
• Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product Spaces (2003, unknown): “The following result related to the Grüss inequality in inner product spaces holds [7].”
• Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces (2005, unknown): “Theorem 36 (Dragomir, 2004).”