English

An intertwined Cauchy--Schwarz-type inequality based on a Lagrange-type identity

Classical Analysis and ODEs 2023-03-07 v1

Abstract

Based on an apparently new Lagrange-type identity, a Cauchy--Schwarz-type inequality is proved. The mentioned identity is obtained by using certain ``macro'' variables; it is hoped that such a method can be used to prove or produce other identities and inequalities.

Keywords

Cite

@article{arxiv.2303.03310,
  title  = {An intertwined Cauchy--Schwarz-type inequality based on a Lagrange-type identity},
  author = {Iosif Pinelis},
  journal= {arXiv preprint arXiv:2303.03310},
  year   = {2023}
}

Comments

5 pages; to appear in Mathematical Inequalities & Applications

R2 v1 2026-06-28T09:03:55.056Z