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Convexity In Multivalued Harmonic Functions
Real Analysis Exchange, 2022 16 pages. Real Analysis Exchange. Vol. 47(2) 2022 pp.
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Starlikeness, Convexity and Close-to-convexity of Harmonic Mappings [PDF]
, 2014 In 1984, Clunie and Sheil-Small proved that a sense-preserving harmonic function whose analytic part is convex, is univalent and close-to-convex. In this paper, certain cases are discussed under which the conclusion of this result can be strengthened and extended to fully starlike and fully convex harmonic mappings.
Nagpal, Sumit, Ravichandran, V.
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On Convolution and Convex Combination of Harmonic Mappings [PDF]
Journal of Mathematics, 2021 In this paper, the subclass of harmonic univalent functions by shearing construction is studied and this subclass of harmonic mappings needs a necessary and adequate condition to be convex in the horizontal direction. Furthermore, convolutions of two special subclasses of univalent harmonic mappings are shown to be convex in the horizontal direction ...
Ahmad Sulaiman Ahmad El-Faqeer +2 more
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Convexity of harmonic densities [PDF]
Revista Matemática Iberoamericana, 2012 The convexity of the densities of harmonic measures is proven for subsets of a circle or of the real line. As a consequence, we get the convexity of the densities of equilibrium measures for compact sets lying on circles or the real axis.
David Benko, Peter Dragnev, Vilmos Totik
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Inequalities Associated with Invariant Harmonically h-Convex Functions [PDF]
, 2017 In this paper, we introduce a new class of harmonically convex functions which is called invariant harmonically h-convex function. We show that the class of invariant harmonically h-convex functions unifies several other new and classes of invariant ...
Aslam Noor, Muhammad +7 more
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New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
Journal of Inequalities and Applications, 2020 In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
Muhammad Uzair Awan +4 more
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International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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Hermite–Hadamard–Fejér type inequalities for p-convex functions
Arab Journal of Mathematical Sciences, 2017 In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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On Generalized Harmonically ψ-MT-Convex Functions via Local Fractional Integrals and some Applications [PDF]
, 2023 In this work, we introduce a new class of harmonically convex functions, namely, generalized harmonically ψ-MT-convex functions established on fractal set techniques, for establishing inequalities of Hermite-Hadamard type and certain related variants ...
Fareed Shah, Ahsan +4 more
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