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Martingale inequalities in Orlicz–Karamata modular spaces

  • Libo Li,
  • Kaituo Liu,
  • Yao Wang

摘要

In this article, some new martingale inequalities in the framework of Orlicz–Karamata modular spaces are discussed. More precisely, we establish modular inequalities associated with Orlicz functions and slowly varying functions. The results obtained herein can weaken the restrictive condition that the slowly varying function b is nondecreasing in (Math Nachr 291(8–9):1450–1462, 2018).