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New Convex Function Inequalities and Generalizations of Bernoulli s Inequality

Year: 2025
Type: article
Abstract: In this paper, we present a generalized equivalence result for convex functions that extends previous characterizations. Our approach provides a simpler and stronger proof by combining classical convexity tools and right-hand derivative analysis, avoiding complex case-by-case arguments. This structure leads to new functional inequalities of Bernoulli type with wider applicability.
Language: English
Open Access status: hybrid
OpenAlex ID: W7126040769
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