New Upper and Lower bounds for the Trapezoid inequality of absolutely continuous functions and Applications
Mohammad W. Alomari
TL;DR
This paper derives new bounds for the Trapezoid inequality applicable to absolutely continuous functions and demonstrates their usefulness through applications to special means.
Contribution
It introduces novel upper and lower bounds for the Trapezoid inequality, expanding its theoretical framework and practical applications.
Findings
New bounds improve existing inequalities
Applications to special means demonstrate practical relevance
Enhanced understanding of absolutely continuous functions
Abstract
In this paper, new upper and lower bounds for the Trapezoid inequality of absolutely continuous functions are obtained. Applications to some special means are provided as well.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results