Results 11 to 20 of about 3,679,425 (232)

Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means [PDF]

, 2003
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and ...
Qi, Feng, Chen, Chao-Ping
core   +6 more sources

Logarithmic Convexity of the One-Parameter Mean Values [PDF]

, 2004
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R are presented. Some more general results are established.
Qi, Feng, Cheung, Wing Sum
core   +6 more sources

Complete Monotonicity of Logarithmic Mean [PDF]

, 2007
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
core   +6 more sources

Blow-up phenomena for a damped wave equation with logarithmic source term and variable-exponents [PDF]

Theoretical and Applied Mechanics
This paper investigates the wave equation with variable-exponent nonlinearity and logarithmic source term, given by the following: utt − Δu + $ aut|ut|^{m(・)−2} $ = $ bu|u|^{p(・)−2} $ ln |u|, where a and b are positive constants, and the functions m(・)
Trigui Mohammed Y., Saadaoui Mohamed
doaj   +1 more source

Bias Correction in Logarithmic Regression and Comparison with Weighted Regression for Nonlinear Models [PDF]

, 2011
Non-linear models with heteroscedasticity are commonly used in ecological and forestry modeling, and logarithmic regression and weighted regression are usually employed to estimate the parameters. Using the single-tree biomass data of three large samples,
Wei Sheng Zeng, Shou Zheng Tang
core   +1 more source

Universality of Logarithmic Loss in Successive Refinement

Entropy, 2019
We establish an universal property of logarithmic loss in the successive refinement problem. If the first decoder operates under logarithmic loss, we show that any discrete memoryless source is successively refinable under an arbitrary distortion ...
Albert No
doaj   +1 more source

Blow-Up for a Stochastic Viscoelastic Lamé Equation with Logarithmic Nonlinearity

Journal of Function Spaces, 2021
In this paper, we consider an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and logarithmic nonlinear source terms. We proved a blow-up result for the solution with decreasing kernel.
Amina Benramdane, Nadia Mezouar, Mohammed Sulaiman Alqawba, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif   +4 more
doaj   +1 more source

Global Solutions for a Nonlocal Problem with Logarithmic Source Term [PDF]

Sahand Communications in Mathematical Analysis
The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem$$ u_{tt}- M\left(\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u + \delta u_{t}= |u|^{\rho-2}u \log|u|, \quad ...
Eugenio Lapa
doaj   +1 more source

Small-convection limit for two-dimensional chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source

Boundary Value Problems, 2022
In this paper, we consider the small-convection limit of chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source { n t κ + u κ ⋅ ∇ n κ = Δ n κ − χ ∇ ⋅ ( n κ ∇ log c κ ) + f ( n κ ) , x ∈ Ω , t > 0 , c t κ + u κ ⋅ ∇ c κ = Δ c
Jie Wu
doaj   +1 more source

Mineral and Nutrient Leaf Composition of Two Cassava (Manihot esculenta Crantz) Cultivars Defoliated at Varying Phenological Phases

Notulae Scientia Biologicae, 2010
The effect of defoliation on mineral and food value of two cassava varieties defoliated at varying phenological phases was studied to ascertain the appropriate phenological phase when harvested leaves would contain the optimum mineral and proximate ...
Oyeyemi Adigun DADA, Oyetola Olusola OWORU   +1 more
doaj   +3 more sources