Results 221 to 230 of about 390 (251)
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On Harmonic Close-To-Convex Functions
Computational Methods and Function Theory, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ponnusamy, Saminathan +1 more
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Convex subclass of harmonic starlike functions
Applied Mathematics and Computation, 2004A 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
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On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals [PDF]
Quaestiones 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
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p-Harmonic Maps and Convex Functions
Geometriae Dedicata, 1999The 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 \(\int_M\|d\varphi \|^{p-1}< \infty\).
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Logarithmic Convexity for Supremum Norms of Harmonic Functions
Bulletin of the London Mathematical Society, 1994The 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.
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Completely Convex and Positive Harmonic Functions
SIAM Journal on Mathematical Analysis, 1975A completely convex function is a positive real-valued function on a real interval whose even derivatives alternate in sign. The author shows that every completely convex function is the restriction to the real line of a positive harmonic function in a vertical strip which is completely convex in x for each y.
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Directional Convexity of Convolutions of Harmonic Functions with Certain Dilatations
Computational Methods and Function Theory, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garg, Raj K. +2 more
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A remark on convex functions andp-harmonic maps
Geometriae Dedicata, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheung, L.-F., Leung, P.-F.
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Convolution Properties of Convex Harmonic Functions
International Journal of Open Problems in Complex Analysis, 2012In this paper, we examine the convolutions of convex harmonic functions with some other classes of univalent harmonic functions dened by certain coecient conditions and prove that such convolutions belong to some well known classes of univalent harmonic functions.
Raj Kumar, Sushma Gupta, Sukhjit Singh
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Sections of stable harmonic convex functions
Nonlinear Analysis: Theory, Methods & Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Liulan, Ponnusamy, Saminathan
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