Results 51 to 60 of about 54,206 (225)
Weighted Versions of the Arithmetic-Mean-Geometric Mean Inequality and Zaremba's Function
, 2023 We use the weighted version of the arithmetic-mean-geometric-mean inequality to motivate new results about Zaremba's function, $z(n) = \sum_{d|n} \frac{\log d}{d}$. We investigate record-setting values for $z(n)$ and the related function $v(n) = \frac{z(n)}{\log τ(n)}$ where $τ(n)$ is the number of divisors of $n$.
McCormack, Tim, Zelinsky, Joshua
openaire +2 more sources
Business Strategy and the Environment, EarlyView.ABSTRACT Industry 5.0 has emerged to address the limitations of Industry 4.0 by emphasizing inclusive sustainability through environmentalism, human‐centricity, and resilience. However, its development faces barriers across technological, organizational, and social dimensions.
Mohammad Ali Beheshtinia +4 more
wiley +1 more source
Arithmetic three-spheres theorems for quasilinear Riccati type inequalities [PDF]
, 2015 We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.Comment: to appear in Journal d'Analyse Math ...
Granlund, Seppo, Marola, Niko
core
Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities
Journal of Engineering Technology and Applied Sciences, 2017 In this paper we prove the functional inequality $f(x)^{f(x)}\leq g(x)^{g(x)}$ for positive real functions $f$ and $g$ satisfying natural conditions and apply it to derive inequalities between some of the elementary functions and to prove monotonocity of certain sequences of real numbers.
openaire +3 more sources
Battery Energy, Volume 4, Issue 2, March 2025.Lithium batteries constitute a pivotal component in electric vehicles (EVs) owing to their rechargeability and high‐power output capabilities. ABSTRACT Lithium batteries constitute a pivotal component in electric vehicles (EVs) owing to their rechargeability and high‐power output capabilities.
Mohsen Alizadeh Afroozi +4 more
wiley +1 more source
Implications between generalized convexity properties of real functions
, 2015 Motivated by the well-known implications among $t$-convexity properties of real functions, analogous relations among the upper and lower $M$-convexity properties of real functions are established.
Kiss, Tibor, Páles, Zsolt
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Bell's inequalities I: An explanation for their experimental violation
, 2001 Derivations of two Bell's inequalities are given in a form appropriate to the interpretation of experimental data for explicit determination of all the correlations.
Aspect +6 more
core +1 more source
Energy Science &Engineering, EarlyView.An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian +7 more
wiley +1 more source
On two new means of two arguments III [PDF]
, 2017 In this paper authors establish the two sided inequalities for the following two new means $$X=X(a,b)=Ae^{G/P-1},\quad Y=Y(a,b)=Ge^{L/A-1}.$$ As well as many other well known inequalities involving the identric mean $I$ and the logarithmic mean are ...
Bhayo, Barkat Ali, Sándor, József
core +3 more sources