On two inequalities of \v{C}eby\v{s}ev
Classical Analysis and ODEs
2023-07-27 v3
Abstract
In this work, several sharp bounds for the \v{C}eby\v{s}ev functional involving various type of functions are proved. In particular, for the \v{C}eby\v{s}ev functional of two absolutely continuous functions whose first derivatives are both convex, convex and belong to -spaces, convex and bounded variation, convex and Lipschitz mappings new sharp bounds are presented. Other related results regarding two convex and concave functions are given.
Cite
@article{arxiv.1609.06232,
title = {On two inequalities of \v{C}eby\v{s}ev},
author = {Mohammad W. Alomari},
journal= {arXiv preprint arXiv:1609.06232},
year = {2023}
}
Comments
The paper contains some wrong results. There are essential inaccurate results. The main result is mathematically wrong