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

2003/08/28 by Sever S Dragomir, Sever Silvestru Dragomir, Dragomir, Sever Silvestru · 1 citation
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematics and Applications #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.math/0308273

arxiv created 2003/08/28 · openalex publication_date 2003/08/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

Cited by

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

Related

• New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
• Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product Spaces
• Reverses of the Triangle Inequality in Inner Product Spaces
• A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results
• Some Gruss Type Inequalities in Inner Product Spaces