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Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function

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Listed:
  • Zhengbo Li
  • Kamran
  • Muhammad Sajid Zahoor
  • Huma Akhtar
  • Sunil Kumar

Abstract

In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are more generalized than existing results in the literature. Moreover, fractional integral inequality for this generalization is also established.

Suggested Citation

  • Zhengbo Li & Kamran & Muhammad Sajid Zahoor & Huma Akhtar & Sunil Kumar, 2020. "Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function," Journal of Mathematics, Hindawi, vol. 2020, pages 1-10, October.
    • Handle: RePEc:hin:jjmath:4606439
    DOI: 10.1155/2020/4606439
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