Generalizations of Holder's and some related integral inequalities on fractal space

TL;DR

This paper extends classical integral inequalities like Hölder's inequality to fractal spaces using local fractional calculus, providing new generalized inequalities and detailed results in fractal analysis.

Contribution

It introduces novel generalizations of Hölder's and related inequalities within fractal spaces utilizing local fractional calculus, advancing mathematical tools for fractal analysis.

Findings

New generalized Hölder's inequalities in fractal spaces

Detailed results on generalized integral inequalities in fractal analysis

Enhanced mathematical framework for inequalities in fractal calculus

Abstract

Based on the local fractional calculus, we establish some new generalizations of H\"{o}lder's inequality. By using it, some results on the generalized integral inequality in fractal space are investigated in detail.