New general integral inequality for convex functions and applications
M. Z. Sarikaya, H. Ogunmez, M. K. Yildiz
TL;DR
This paper introduces a new general inequality for convex functions and demonstrates its applications to various integral inequalities and special means, expanding the tools available for analysis in convex optimization and inequalities.
Contribution
The paper presents a novel general inequality for convex functions and applies it to derive several classical integral inequalities and mean inequalities.
Findings
New general convex inequality established
Derived midpoint, trapezoid, and averaged inequalities
Applications to special means of real numbers
Abstract
In this paper, we establish new general inequality for convex functions. Then we apply this inequality to obtain the midpoint, trapezoid and averaged midpoint-trapezoid integral inequality. Also, some applications for special means of real numbers are provided.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematics and Applications