English

Gruss Type Discrete Inequalities in Inner Product Spaces, Revisited

Classical Analysis and ODEs 2025-10-20 v1 Numerical Analysis Numerical Analysis

Abstract

Some sharp inequalities of Gruss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.

Keywords

Cite

@article{arxiv.math/0306319,
  title  = {Gruss Type Discrete Inequalities in Inner Product Spaces, Revisited},
  author = {Sever Silvestru Dragomir},
  journal= {arXiv preprint arXiv:math/0306319},
  year   = {2025}
}