Results 11 to 20 of about 40 (40)

Monotone subsequence via ultrapower

Open 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, Kanovei Vladimir, Katz Mikhail G., Nowik Tahl   +3 more
doaj   +1 more source

Copulas, stable tail dependence functions, and multivariate monotonicity

Dependence 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

Monotonicity properties and inequalities related to generalized Grötzsch ring functions

Open Mathematics, 2019
In the paper, the authors present some monotonicity properties and some sharp inequalities for the generalized Grötzsch ring function and related elementary functions. Consequently, the authors obtain new bounds for solutions of the Ramanujan generalized
Wang Fei, He Jian-Hui, Yin Li, Qi Feng
doaj   +1 more source

Characterizations of minimal elements of upper support with applications in minimizing DC functions

Open Mathematics
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh, Barsam Hasan, Ciurdariu Loredana   +2 more
doaj   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

On singular nonlinear distributional and impulsive initial and boundary value problems

Boundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj  

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

Journal 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  

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

Heliyon, 2023
Mahmood A, Srivastava HM, Abbas M, Abdullah FA, Othman Mohammed P, Baleanu D, Chorfi N.   +6 more
europepmc   +1 more source

Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]

Rev Mat Complut, 2022
Yang ZH, Tian JF.
europepmc   +1 more source