Bessel Type Inequalities for Non-Orthonormal Families of Vectors in Inner Product Spaces

2005/08/04 by Sever S Dragomir, Sever Silvestru Dragomir, Dragomir, Sever Silvestru
Mathematics · #26D15 #46C05 #46C09 #Advanced Banach Space Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Point processes and geometric inequalities #math.CA #math.FA #msc:26D15 #msc:46C05 #msc:46C09

paper · pdf · doi:10.48550/arxiv.math/0508085

10 pages

arxiv created 2005/08/04 · openalex publication_date 2005/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Some sharp Bessel type inequalities for non-orthonormal families of vectors in inner product spaces are given. Applications for complex numbers are also provided.

Citations

• On Pecaric's Inequality in Inner Product Spaces

Related

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