English

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

Classical Analysis and ODEs 2007-05-23 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.math/0309442,
  title  = {Bounding the Chebychev Functional for a Pair of Sequences in Inner Product Spaces},
  author = {Sever Silvestru Dragomir},
  journal= {arXiv preprint arXiv:math/0309442},
  year   = {2007}
}