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August 15, 2025Fractal and FractionalOpen Access

Wirtinger-Type Inequalities Involving Tempered Ψ-Fractional Derivatives with Applications

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Authors

QWQingzhe WuMZMuming ZhangJSJing Shao

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Overview

This analysis demonstrates Wirtinger-type inequalities involving tempered fractional derivatives, suggesting potential applications in mathematical inequalities.

Key Points

  • The study establishes new wirtinger-type inequalities in lp norms for p>1, indicating broader applications.
  • Utilizing Hölder's inequality, the results highlight key relationships to existing literature, enhancing understanding in the field.
  • Illustrative examples are provided, showcasing applications related to arithmetic and geometric means, thus grounding theoretical findings.
  • The derived inequalities offer new insights that may influence future research and applications in mathematical analysis.

Cite This Study

Wu et al. (2025) studied this question.

synapsesocial.com/papers/68a365600a429f797332b6c7https://doi.org/10.3390/fractalfract9080519
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  4. 4On The ( <i>k</i> , <i>s</i> )‐Hilfer Fractional Derivatives via Wirtinger‐Type Inequalities and Their Analytical Applications2026
  5. 5Numerical and Graphical Validations of Hermite-Hadamard, Fejér and Pachpatte-Type Integral Inequalities Pertaining to Interval Analysis2025