Bounding the Chebychev Functional for a Pair of Sequences in Inner Product Spaces

2003/09/27 by Sever S Dragomir, Sever Silvestru Dragomir, Dragomir, Sever Silvestru
Mathematics · #26D15 #46C05 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #math.CA #math.FA #msc:26D15 #msc:46C05

paper · pdf · doi:10.48550/arxiv.math/0309442

arxiv created 2003/09/27 · openalex publication_date 2003/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some new bounds for the Chebychev functional of a pair of vectors in inner product spaces are pointed out. Reverses for the celebrated Jensen's inequality for convex functions defined on inner product spaces are given as well.

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