English

On a functional inequality stemming from the Gr\"uss-type inequalities

Classical Analysis and ODEs 2019-06-06 v1

Abstract

We study functional inequality of the form T(f,h)T(f,g)T(g,h)F(f,g)F(g,h)F(f,h)|T(f,h)-T(f,g)T(g,h)| \leq F(f,g)F(g,h) -F(f,h) where TT is a complex-valued functional and FF is a real-valued map. Motivation for our studies comes from some generalizations of Gr\"uss inequality.

Keywords

Cite

@article{arxiv.1906.01928,
  title  = {On a functional inequality stemming from the Gr\"uss-type inequalities},
  author = {Włodzimierz Fechner},
  journal= {arXiv preprint arXiv:1906.01928},
  year   = {2019}
}
R2 v1 2026-06-23T09:42:58.832Z