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Some inequalities for functions having Orlicz-convexity

Author

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  • Cristescu, Gabriela
  • Noor, Muhammad Aslam
  • Noor, Khalida Inayat
  • Awan, Muhammad Uzair

Abstract

Some Hermite–Hadamard type inequalities are derived for products of functions having Orlicz-convexity properties. We also obtain these inequalities via Riemann–Liouville fractional integrals for Orlicz-convex functions. These inequalities are as best as possible from the sharpness point of view, meaning that a sharpness class of functions is identified, for each inequality, within the functions that are s-affine of first kind. Some special cases are discussed.

Suggested Citation

  • Cristescu, Gabriela & Noor, Muhammad Aslam & Noor, Khalida Inayat & Awan, Muhammad Uzair, 2016. "Some inequalities for functions having Orlicz-convexity," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 226-236.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:226-236
    DOI: 10.1016/j.amc.2015.09.068
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    References listed on IDEAS

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    1. Tadeusz Antczak, 2014. "On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems," Journal of Global Optimization, Springer, vol. 59(4), pages 757-785, August.
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    3. Noor, Muhammad Aslam & Noor, Khalida Inayat & Awan, Muhammad Uzair, 2015. "Some quantum integral inequalities via preinvex functions," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 242-251.
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