Geodesic
Non-monotonicity height of PM functions on interval
Pingping Zhang1 ; Pingping Zhang
1Department of Mathematics, Binzhou University, Shandong 256603
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 287-297 
Pingping Zhang; Pingping Zhang. Non-monotonicity height of PM functions on interval. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 287-297. http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a8/
@article{AMUC_2017_86_2_a8,
     author = {Pingping Zhang and Pingping Zhang},
     title = { Non-monotonicity height of {PM} functions on interval},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {287--297},
     year = {2017},
     volume = {86},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a8/}
}
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Voir la notice de l'article provenant de la source Comenius University

Using the piecewise monotone property, we give a full description of non-monotonicity height of PM functions with a single fort on compact interval. This method is also available for general PM functions with nitely many forts, as well as those functions dened on the whole real line. Finally, we obtain a sucient and necessary condition for the nite non-monotonicity height by characteristic interval.