The Abel-Steffensen inequality in higher dimensions
Constantin P. Niculescu
TL;DR
This paper extends the Abel-Steffensen inequality to multiple variables and explores its applications in Fourier analysis and Riemann-Stieltjes integration, broadening its theoretical scope.
Contribution
The paper introduces a higher-dimensional version of the Abel-Steffensen inequality, expanding its applicability in multivariable analysis.
Findings
Extended inequality to several variables
Applied to Fourier analysis in multiple dimensions
Utilized in Riemann-Stieltjes integration
Abstract
The Abel-Steffensen inequality is extended to the context of several variables. Applications to Fourier analysis of several variables and Riemann-Stieltjes integration are also included.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Matrix Theory and Algorithms