JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 88-91.doi: 10.6040/j.issn.1671-9352.0.2021.455

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A class of maximal inequalities for the functions of demimartingales and N-demimartingales

LU Ya-li, FENG De-cheng*, LIN Xia   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-10-06

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Abstract: A class of maximal inequalities for the functions of demartingales and N-demimartingales were given by using upcrossing inequality for demimartingales, downcrossing inequality for N-demimartingales and their maximal inequalities.

Key words: demimartingale, N-demimartingale, convex function, concave function, maximal inequalitiy

CLC Number: 

  • O211.4
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[2] 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.
[3] 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.
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