Results 61 to 70 of about 357 (103)

Functions with Unusual Differentiability Properties

open access: yes, 2014
The monotone increasing Cantor function is used as a "machine" for building examples of strange functions with interesting properties both from the Fractal Measure Theory and from Singular Functions viewpoints. We give examples showing functions f where:
E. Amo, M. D. Carrillo, J. F. Sánchez
semanticscholar   +1 more source

Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic

open access: yesJournal of Inequalities and Applications, 2011
We prove that the function F α,β (x) = x α Γ β (x)/Γ(βx) is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β) : β > 0, β ≥ 2 ...
Lv Yu-Pei, Sun Tian-Chuan, Chu Yu-Ming
doaj  

Trace inequalities and spectral shift

open access: yes, 2009
We derive monotonicity and convexity inequalities for traces of operator functions defined on self-adjoint elements of a semi-finite von Neumann algebra.
A. Skripka
semanticscholar   +1 more source

The Bochner integral and the weak property (N)

open access: yes, 2014
The Russian mathematician N. N. Luzin recognized the importance of the condition which now bears his name and is also referred to as property (N). We present descriptive characterizations of Bochner integral in terms of the weak property (N). Mathematics
Besnik Bush Memetaj
semanticscholar   +1 more source

Some Inequalities for the Ratios of Generalized Digamma Functions

open access: yes, 2014
Some inequalities for the ratios of generalized digamma functions are presented. The approache makes use of the series representations of the $(q,k)$-digamma and $(p,q)$-digamma functions.Comment: 5 ...
Nantomah, Kwara
core   +1 more source

Integral representation of some functions related to the Gamma function

open access: yes, 2004
We prove that the functions Phi(x)=[Gamma(x+1)]^{1/x}(1+1/x)^x/x and log Phi(x) are Stieltjes ...
Berg, Christian
core   +1 more source

Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]

open access: yesHeliyon, 2023
Mahmood A   +6 more
europepmc   +1 more source

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