A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results

2003/05/16 by Sever S Dragomir, Sever Silvestru Dragomir, Dragomir, Sever Silvestru
Mathematics · #Functional Equations Stability Results #Mathematical Inequalities and Applications #Point processes and geometric inequalities #math.CA #math.FA #msc:26D10 #msc:26D15 #msc:46C05

paper · pdf · doi:10.48550/arxiv.math/0305229

arxiv created 2003/05/16 · arxiv updated 2009/11/30

Abstract

A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.

Related

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