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I‐convexity and Q‐convexity in Orlicz–Bochner function spaces endowed with the Orlicz norm

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  • Wanzhong Gong
  • Xiaoli Dong
  • Kangji Wang

Abstract

Some characterizations of I‐convexity and Q‐convexity of Banach space are obtained. Moreover, the criteria is shown for Orlicz–Bochner function spaces LM(μ,X) endowed with the Orlicz norm being I‐convex as well as being Q‐convex.

Suggested Citation

  • Wanzhong Gong & Xiaoli Dong & Kangji Wang, 2019. "I‐convexity and Q‐convexity in Orlicz–Bochner function spaces endowed with the Orlicz norm," Mathematische Nachrichten, Wiley Blackwell, vol. 292(11), pages 2369-2382, November.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:11:p:2369-2382
    DOI: 10.1002/mana.201800268
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