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Hermite‐Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals

Author

Listed:
  • Guangzhou Li
  • Feixiang Chen

Abstract

We use basic properties of superquadratic functions to obtain some new Hermite‐Hadamard type inequalities via Riemann‐Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.

Suggested Citation

  • Guangzhou Li & Feixiang Chen, 2014. "Hermite‐Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:851271
    DOI: 10.1155/2014/851271
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    References listed on IDEAS

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    1. Dumitru Baleanu & Praveen Agarwal, 2014. "On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
    2. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional q‐Integral Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Dumitru Baleanu & Praveen Agarwal, 2014. "On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional -Integral Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
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    Cited by:

    1. Butt, Saad Ihsan & Khan, Dawood, 2025. "Superquadratic function and its applications in information theory via interval calculus," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).

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