On Bessel and Gruss Inequalities for Orthornormal 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) #Mathematical Inequalities and Applications #math.CA #math.FA #msc:26D10 #msc:26D15 #msc:46C05

paper · pdf · doi:10.48550/arxiv.math/0305295

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

A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.

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