Some New Results Related to Bessel and Gruss Inequalities for Orthogonal Families in Inner Product Spaces

2003/05/20 by Sever S Dragomir, Sever Silvestru Dragomir, Dragomir, Sever Silvestru
Mathematics · #26D10 #26D15 #46C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA #math.FA #msc:26D10 #msc:26D15 #msc:46C05

paper · pdf · doi:10.48550/arxiv.math/0305296

arxiv created 2003/05/20 · openalex publication_date 2003/05/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities are also empahsized.

Related

• A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results
• 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
• Bessel Type Inequalities for Non-Orthonormal Families of Vectors in Inner Product Spaces
• Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces