Results 61 to 70 of about 180,189 (322)
Logarithmically complete monotonicity of reciprocal arctan function [PDF]
arXiv, 2021 We prove the conjecture stated in F. Qi and R. Agarwal, \textit{On complete monotonicity for several classes of functions related to ratios of gamma functions}, J. Inequal. Appl. (2019), 1-42, that the function $1/\arctan$ is logarithmically completely monotonic on $(0,\infty)$, but not a Stieltjes transform.
arxiv
Completely Monotonic and Related Functions
Journal of Mathematical Analysis and Applications, 1996 AbstractWe study completely monotonic and related functions whose firstNderivatives are definite on an interval. LetLNdenote the class of functions defined by f\in{\cal L}^N \Leftrightarrow (-1)^k f^{(k)}(t)\ge0,\qquad \forall t>0, \forall k,0\le k\le N. ForN→∞ we writef∈L; such functions are called completely monotonic on (0,∞). We prove in particular
openaire +2 more sources
Advanced Engineering Materials, EarlyView.A novel metadata schema is introduced to address the sparsity of microstructure‐sensitive mechanical data. The design follows the material modeling workflow, as each run results in the definition of unique data objects. The schema includes categorical elements to ensure findability, accessibility, interoperability, and reusability (FAIR). This approach
Ronak Shoghi, Alexander Hartmaier
wiley +1 more source
Double Inequalities for Complete Monotonicity Degrees of Remainders of Asymptotic Expansions of the Gamma and Digamma Functions [PDF]
arXiv, 2022 Motivated by several conjectures posed in the paper " Completely monotonic degrees for a difference between the logarithmic and psi functions",we confirm in this work some conjectures on completely monotonic degrees of remainders of the asymptotic expansion of the logarithm of the gamma function and the digamma function and we give two bounded for this
arxiv
Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions [PDF]
Feng Qi and Shu-Hong Wang, Global Journal of Mathematical Analysis
2 (2014), no. 3, 91--97, 2012 In the paper, the authors verify the complete monotonicity of the difference $e^{1/t}-\psi'(t)$ on $(0,\infty)$, compute the completely monotonic degree and establish integral representations of the remainder of the Laurent series expansion of $e^{1/z}$, and derive an inequality which gives a lower bound for the first order modified Bessel function of ...
arxiv +1 more source
An inequality for completely monotone functions
, 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.
Bitsouni, Vasiliki +2 more
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Advanced Functional Materials, EarlyView.The seed pod valves of Australian Banksia attenuata plants are not simply bi‐layers which bend when dry. These experiments and models reveal complex mechanics, which allow seed release only after several steps of seed pod opening. Stiffness gradients prevent delamination of the valves during loading, and a shape‐memory function protects the seeds ...
Friedrich Reppe +7 more
wiley +1 more source
Medium‐Entropy Engineering of Magnetism in Layered Antiferromagnet CuxNi2(1‐x)CrxP2S6
Advanced Functional Materials, EarlyView.This study explores the aliovalent substitution strategy with Cu and Cr replacing Ni in Ni₂P₂S₆ compounds to engineer magnetism. By creating CuxNi2(1‐x)CrxP2S6 medium‐entropy alloys, the research reveals the evolution of distinct magnetic phases, including the creation of weak ferromagnetism in intermediate compositions.
Dinesh Upreti +9 more
wiley +1 more source
Mittag-Leffler functions and complete monotonicity [PDF]
Integral Transforms and Special Functions, 2014 One ...
openaire +5 more sources
Advanced Functional Materials, EarlyView.A novel, high tensile modulus, fully aromatic thermotropic liquid crystalline polyimide (LCPI) with better solvent resistance and thermal stability is synthesized. Tensile specimens are fabricated using both injection molding and FFF processes, accomplished via lower viscosity enabled by the LC phase.
Zhenning Yu +6 more
wiley +1 more source