Convergence of iterates in nonlinear Perron-Frobenius theory [PDF]
Let $C$ be a closed cone with nonempty interior $C^\circ$ in a Banach space. Let $f:C^\circ \rightarrow C^\circ$ be an order-preserving subhomogeneous function with a fixed point in $C^\circ$.
Brian Lins
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Liquid Phase TEM of Diffusing Emulsion Droplets. [PDF]
Motion of emulsion droplets was observed via in situ liquid phase transmission electron microscopy. Analysis revealed that the motion is self‐affine and influenced by multiple stochastic processes, as well as a fractal landscape created by the electron beam.
Vratsanos MA +4 more
europepmc +2 more sources
Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies
In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions defined on bodies $B⊂\mathbb{R}^n$ that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.
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Multiplicatively Simpson Type Inequalities via Fractional Integral
Multiplicative calculus, also called non-Newtonian calculus, represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type of calculus was first introduced by Grossman and Katz and it provides a defined
Abdelkader Moumen +6 more
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Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions
Various scholars have lately employed a wide range of strategies to resolve specific types of symmetrical fractional differential equations. In this paper, we propose a new fractional identity for multiplicatively differentiable functions; based on this ...
Hamid Boulares +6 more
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Hermite-Hadamard Type Inequalities for Multiplicatively P-Functions
In this study, we first establish some integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively -functions.
S. Özcan
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Safety of Dynamical Systems With Multiple Non-Convex Unsafe Sets Using Control Barrier Functions [PDF]
This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high computational complexity in case of general nonlinear systems. Leveraging control barrier functions, on the other
Gennaro Notomista, Matteo Saveriano
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On the conformal capacity of a spatial condenser with spherical plates
Condencers with spherical plates are considered, the radii of which depend on the parameter r. It is shown that the conformal capacity of such condencers is a multiplicatively convex function of r.
E. Prilepkina
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Multiplicity theorems involving functions with non-convex range
"Here is a sample of the results proved in this paper: Let $f:{\bf R}\to {\bf R}$ be a continuous function, let $\rho>0$ and let $\omega:[0,\rho[\to [0,+\infty[$ be a continuous increasing function such that $$\lim\limits_{\xi\to \rho^-}\ds\int_0^{\xi}\omega(x)dx=+\infty.$$ Consider $C^0([0,1])\times C^0([0,1])$ endowed with the norm $$\|(\alpha ...
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Midpoint and trapezoid type inequalities for multiplicatively convex functions
In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special means are also given.
Amel, Berhail, Badreddine, Meftah
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