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Some New Classes of Preinvex Functions and Inequalities

Author

Listed:
  • Muhammad Aslam Noor

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan)

  • Khalida Inayat Noor

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan)

  • Saima Rashid

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan)

Abstract

In this article, we introduce some new class of preinvex functions involving two arbitrary auxiliary functions. We derive some new integral inequalities for these classes of preinvex functions. We also discuss some special cases which can be deduced from our main results.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Saima Rashid, 2018. "Some New Classes of Preinvex Functions and Inequalities," Mathematics, MDPI, vol. 7(1), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:29-:d:193901
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    References listed on IDEAS

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    1. Ariana Pitea & Mihai Postolache, 2012. "Duality theorems for a new class of multitime multiobjective variational problems," Journal of Global Optimization, Springer, vol. 54(1), pages 47-58, September.
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