Results 11 to 20 of about 226 (67)

A new proof of monotonicity for extended mean values

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 417-421, 1999., 1999
In this article, a new proof of monotonicity for extended mean values is given.
Feng Qi, Sen-Lin Xu, Lokenath Debnath
wiley   +1 more source

Monotone and convex H*‐algebra valued functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley   +1 more source

Monotone subsequence via ultrapower

open access: yesOpen Mathematics, 2018
An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus problem: every infinite sequence has a monotone infinite subsequence, and ...
Błaszczyk Piotr   +3 more
doaj   +1 more source

Copulas, stable tail dependence functions, and multivariate monotonicity

open access: yesDependence Modeling, 2019
For functions of several variables there exist many notions of monotonicity, three of them being characteristic for resp. distribution, survival and co-survival functions. In each case the “degree” of monotonicity is just the basic one of a whole scale.
Ressel Paul
doaj   +1 more source

Logarithmically complete monotonicity of a function related to the Catalan-Qi function

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
In the paper, the authors find necessary and sufficient conditions such that a function related to the Catalan-Qi function, which is an alternative generalization of the Catalan numbers, is logarithmically complete monotonic.
Qi Feng, Guo Bai -Ni
doaj   +1 more source

Dunkl completely monotonic functions [PDF]

open access: yes, 2015
We introduce the notion of Dunkl completely monotonic functions on $\left(-\sigma,\sigma\right), \sigma>0$. We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl setting.
arxiv   +1 more source

An alternative proof of Elezović-Giordano-Pečarić's theorem [PDF]

open access: yesBai-Ni Guo and Feng Qi, An alternative proof of Elezovic-Giordano-Pecaric's theorem, Mathematical Inequalities and Applications 14 (2011), no. 1, 73--78, 2009
In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl. \textbf{3} (2000), 239\nobreakdash--252.].
arxiv   +1 more source

An integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind [PDF]

open access: yesBulletin of the Korean Mathematical Society 52 (2015), no. 3, 987--998, 2013
In the paper, the authors discover an integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind.
arxiv   +2 more sources

Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels

open access: yesJournal of King Saud University: Science, 2023
The discrete analysed fractional operator technique was employed to demonstrate positive findings concerning the Atangana-Baleanu and discrete Caputo-Fabrizo fractional operators.
Pshtiwan Othman Mohammed   +5 more
doaj  

An inequality for completely monotone functions [PDF]

open access: yesarXiv, 2022
An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result, recently introduced by two of the present authors.
arxiv  

Home - About - Disclaimer - Privacy