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May 6, 2026AxiomsOpen Access

Second-Order Differential Inequality Convexity

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Authors

JPJosip PečarićJMJinyan Miao

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Overview

Demonstrates properties of generalized convexity and establishes Jensen type inequalities, indicating broad implications for function behavior.

Key Points

  • To explore properties of generalized convexity and establish Jensen type inequalities based on these properties.
  • Proving equivalent statements for the generalized convexity assumption
  • Establishing Jensen type inequalities
  • Transforming p(x),q(x)-convex functions into simpler forms
  • Demonstrated that certain combined inequalities hold under generalized convexity
  • Established various Jensen type inequalities as applications
  • Generalized Ky Fan and Wang-Wang type inequalities under new conditions

Cite This Study

Pečarić et al. (2026) studied this question.

synapsesocial.com/papers/69fa989404f884e66b5325b6https://doi.org/10.3390/axioms15050330
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