Results 211 to 220 of about 250,699 (239)
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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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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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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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Convexity Theorems in Harmonic Analysis
Journal of Lie Theory, 1991Let \(G=KAN\) be an Iwasawa decomposition of a real semisimple Lie group \(G\) and \(L: G\to{\mathfrak a}={\mathcal L}(A)\) determined by \(g\in K \exp L(g)N\). Then Kostant's Convexity Theorem says that \(L(aK)=\text{conv}(W \log a)\) for \(a\in A\), where \(W\) is the Weyl group associated to \({\mathfrak g}\), \({\mathfrak a}\) and conv denotes the ...
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Pseudo-Harmonic Interpolation on Convex Domains
SIAM Journal on Numerical Analysis, 1974Practical interpolation schemes for functions of more than one variable need not be finite dimensional as in the case of univariate functions. The so-called “blending function methods” are one example of such transfinite schemes. Another is the method of “pseudo-harmonic interpolation” described in this paper.
Gordon, William J., Wixom, James A.
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Geometric-Harmonic convexity and integral inequalities
AIP Conference Proceedings, 2016In this paper, some new integral inequalities have been proved for functions whose absolute value of derivatives are GH-convex functions by using integral equalities that have been obtained previously.
Akdemir, Ahmet Ocak +7 more
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Convolution and Convex Combination of Harmonic Mappings
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Subzar Beig, V. Ravichandran
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Harmonic Mappings onto Convex Domains
Canadian Journal of Mathematics, 1987Let D be a simply-connected domain and w0 a fixed point of D. Denote by SD the set of all complex-valued, harmonic, orientation-preserving, univalent functions f from the open unit disk U onto D with f(0) = w0. Unlike conformai mappings, harmonic mappings are not essentially determined by their image domains.
Abu-Muhanna, Yusuf, Schober, Glenn
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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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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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