New Convex Function Inequalities and Generalizations of Bernoulli's Inequality
DOI:
https://doi.org/10.64891/jome.17Keywords:
Bernoulli inequalities, convex functions, inequalitiesAbstract
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.
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Copyright (c) 2025 Mehmet Zeki SARIKAYA
This work is licensed under a Creative Commons Attribution 4.0 International License.
