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On generalized Young’s Inequality

Tom 119 / 2019

Siyu Shi, Zhongrui Shi Banach Center Publications 119 (2019), 295-309 MSC: 46E30, 46B20, 26A51, 26A48. DOI: 10.4064/bc119-17

Streszczenie

We generalize Young’s inequality to Orlicz functions. The Young’s inequality is widely used not only in Mathematics but also in Mechanics and Risk Management. We show that for Orlicz function ${\Phi}$, its Young complementary function $\widetilde{\Phi}$ and dual complementary function $\Phi^*$ coincide.

Autorzy

  • Siyu ShiThe Pennsylvania State University
    State College, USA
    e-mail
  • Zhongrui ShiDepartment of Mathematics
    Shanghai University
    Shanghai, China
    e-mail

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