Results 211 to 220 of about 5,352,010 (246)

Inverse design in photonic crystals. [PDF]

open access: yesNanophotonics
Deng R, Liu W, Shi L.
europepmc   +1 more source

Distributed intelligence in industrial and automotive cyber-physical systems: a review. [PDF]

open access: yesFront Robot AI
Piperigkos N   +8 more
europepmc   +1 more source

Fejér-Type Inequalities for Harmonically Convex Functions and Related Results

open access: yesSymmetry, 2023
In this paper, new Fejér-type inequalities for harmonically convex functions are obtained. Some mappings related to the Fejér-type inequalities for harmonically convex are defined.
Muhammad Amer Latif
exaly   +2 more sources

Integral Inequalities for Generalized Harmonically Convex Functions in Fuzzy-Interval-Valued Settings

open access: yesSymmetry, 2021
It is a well-known fact that convex and non-convex fuzzy mappings play a critical role in the study of fuzzy optimization. Due to the behavior of its definition, the idea of convexity also plays a significant role in the subject of inequalities.
P O Mohammed   +2 more
exaly   +2 more sources

On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals

open access: yesQuaestiones Mathematicae, 2019
Based on the theory of local fractional calculus and generalized harmonically convex function on fractal sets, the author establishes a general identity involving local fractional integrals.
Wenbing Sun
exaly   +1 more source

On Harmonic Close-To-Convex Functions

Computational Methods and Function Theory, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ponnusamy, Saminathan   +1 more
openaire   +2 more sources

Convex subclass of harmonic starlike functions

Applied Mathematics and Computation, 2004
A complex valued harmonic function \(f\) defined in a simply connected domain \(\Omega\) can be represented as \(f = h + \overline{g}\), where \(h\) and \(g\) are holomorphic in \(\Omega\). Such an \(f\) is locally univalent and sense preserving in \(\Omega \) if and only if \(|h'(z)| > |g'(z)|\) in \(\Omega\).
Metin Öztürk   +2 more
openaire   +3 more sources

p-Harmonic Maps and Convex Functions

Geometriae Dedicata, 1999
The following theorem is proved. Let \(M\) be a complete noncompact Riemannian manifold, \(N\) a simply connected Riemannian manifold of nonpositive curvature, and \(\varphi:M\to N\) a \(C^1\) \(p\)-harmonic map. Then \(\varphi\) is constant, provided that \(\int_M\|d\varphi \|^{p-1}< \infty\).
openaire   +1 more source

Logarithmic Convexity for Supremum Norms of Harmonic Functions

Bulletin of the London Mathematical Society, 1994
The authors prove the following convexity property for supremum norms of harmonic functions. Let \(\Omega\) be a (connected) domain in \(\mathbb{R}^ n\) \((n\geq 2)\), \(\Omega_ 0 \subset \Omega\) a nonempty open subset and \(E\subset \Omega\) a compact subset (which may be just one point).
Korevaar, J., Meyers, J.L.H.
openaire   +2 more sources

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