Generalized monotonicity of sequences and functions of boundedp-variation

2016 ◽  
Vol 82 (12) ◽  
pp. 111-124 ◽  
Author(s):  
Sergey S. Volosivets ◽  
A. A. Tyuleneva
Keyword(s):  
Generalized Monotonicity

scholarly journals Generalized monotonicity analysis

2009 ◽  
Vol 43 (3) ◽  
pp. 377-406 ◽  
Author(s):  
Bruno H. Strulovici ◽  
Thomas A. Weber
Keyword(s):  
Generalized Monotonicity ◽  
Monotonicity Analysis

Generalized monotonicity in terms of differential inequalities

2019 ◽  
Vol 149 (6) ◽  
pp. 1473-1479
Author(s):  
Mihály Bessenyei
Keyword(s):  
Generalized Monotonicity ◽  
Second Derivative ◽  
Differential Inequalities ◽  
Chebyshev Systems

AbstractThe classical notions of monotonicity and convexity can be characterized via the nonnegativity of the first and the second derivative, respectively. These notions can be extended applying Chebyshev systems. The aim of this note is to characterize generalized monotonicity in terms of differential inequalities, yielding analogous results to the classical derivative tests. Applications in the fields of convexity and differential inequalities are also discussed.

scholarly journals On the generalized monotonicity of variational inequalities

2007 ◽  
Vol 53 (6) ◽  
pp. 910-917 ◽  
Author(s):  
Min-Ru Bai ◽  
Shu-Zi Zhou ◽  
Gu-Yan Ni
Keyword(s):  
Variational Inequalities ◽  
Generalized Monotonicity

scholarly journals Trigonometric series with a generalized monotonicity condition

2014 ◽  
Vol 30 (8) ◽  
pp. 1289-1296 ◽  
Author(s):  
Lei Feng ◽  
Vilmos Totik ◽  
Song Ping Zhou
Keyword(s):  
Trigonometric Series ◽  
Generalized Monotonicity ◽  
Monotonicity Condition
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