$L_p$-Bounds for the \v{C}eby\v{s}ev functional

TL;DR

This paper introduces new bounds for the Chebyshev functional using $L_p$-norms, enhancing the understanding of inequalities involving these norms.

Contribution

It provides novel bounds for the Chebyshev functional specifically involving $L_p$-norms, which were not previously established.

Findings

New bounds for Chebyshev functional with $L_p$-norms

Improved inequalities for functional analysis

Enhanced tools for $L_p$-based inequality analysis

Abstract

In this paper several new bounds for the \v{C}eby\v{s}ev functional involving $L_p$-norm are presented.