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. Reitzner . The monotonicity of f -vectors of random polytopes . Electron. Commun. Probab ., 18 ( 23 ): 8 pp, 2013 . [4] D. L . Donoho and J . Tanner . Counting the faces of randomly-projected hypercubes and orthants
Abstract
Relations between I-approximate Dini derivatives and monotonicity are presented. Next, some generalizations of the Denjoy–Young–Saks Theorem for I-approximate Dini derivatives of an arbitrary real function are proved.
Abstract
The Hirsch index is a number that synthesizes a researcher’s output. It is defined as the maximum number h such that the researcher has h papers with at least h citations each. Woeginger (Math Soc Sci 56: 224–232, 2008a; J Informetr 2: 298–303, 2008b) suggests two axiomatic characterizations of the Hirsch index using monotonicity as one of the axioms. This note suggests three characterizations without adopting the monotonicity axiom.
, S. P. , Ultimate generalization to monotonicity for uniform convergence of trigonometric series , http://arxiv.org/abs/arXiv:math.CA/0611805v1 November 27, 2006, preprint. [12
. [4] Cruz-Uribe , David 1996 Piecewise monotonic doubling measures Rocky Mountain J. Math. 26 545 – 583 10.1216/rmjm/1181072073
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