English

Sharp Wirtinger's type inequalities for double integrals with Applications

Classical Analysis and ODEs 2018-12-18 v1

Abstract

In this work, sharp Wirtinger type inequalities for double integrals are established. As applications, two sharp \v{C}eby\v{s}ev type inequalities for absolutely continuous functions whose second partial derivatives belong to L2L^2 space are proved.

Keywords

Cite

@article{arxiv.1812.06130,
  title  = {Sharp Wirtinger's type inequalities for double integrals with Applications},
  author = {Mohammad W. Alomari},
  journal= {arXiv preprint arXiv:1812.06130},
  year   = {2018}
}

Comments

16 pages

R2 v1 2026-06-23T06:43:03.283Z