On Some New Inequalities for a Specific Class of Functions
Abstract
This paper introduces a new class of functions motivated by a symmetry-type inequality satisfied by convex functions. By incorporating a real parameter, this class extends traditional convexity to accommodate more general functional behaviors while preserving useful structural properties. Several propositions are established, including new functional and integral inequalities inspired by classical results, such as the Hermite-Hadamard and Fejér integral inequalities. The paper concludes with perspectives for future research.
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References
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