JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (11): 93-96.doi: 10.6040/j.issn.1671-9352.0.2020.420

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A class of maximal inequalities for demimartingales(demisubmartingales)based on concave Young functions

FENG De-cheng, LIN Xia*, LU Ya-li   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-11-15

Abstract: Fubini theorem is used to obtain a class of maximal inequalities for demimartingales(demisubmartingales)based on concave Young functions.

Key words: demimartingale, demisubmartingale, concave Young function, Fubini theorem, maximal inequality

CLC Number: 

  • O211.4
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[1] FENG De-cheng, ZHANG Xiao, ZHOU Lin. A class of minimal inequalities for demimartingales [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 65-69.
[2] FENG De-cheng, WANG Xiao-yan, GAO Yu-feng. Maximal φ-inequalities for conditional N-demimartingales based on Y functions [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 91-96.
[3] GONG Xiao-bing1,2. Whittle type inequality for demimartingales and its applications [J]. J4, 2011, 46(9): 112-116.
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