Results 41 to 50 of about 250,699 (239)
Some Fractional Hermite–Hadamard Type Inequalities for Interval-Valued Functions
Mathematics, 2020 In this paper, firstly we prove the relationship between interval h-convex functions and interval harmonically h-convex functions. Secondly, several new Hermite–Hadamard type inequalities for interval h-convex functions via interval Riemann–Liouville ...
Fangfang Shi +3 more
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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Harmonic trigonometrically convexity
Filomat, 2023 In this study, weintroduce and study the concept of harmonic trigonometrically convex functions and their some algebric properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute ...
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Directional Convexity of Convolutions of Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2019 Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging.
Jay M. Jahangiri, Raj Kumar Garg
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Complex Analysis and its Synergies, 2021 The article investigates the images of the circles \(\mathbb{T}_r=\{z\in\mathbb{C}:|z ...
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On Fully-Convex Harmonic Functions and their Extension
Boletim da Sociedade Paranaense de Matemática, 2018 Uniformly convex univalent functions that introduced by Goodman, maps every circular arc contained in the open unit disk with center in it into a convex curve. On the other hand, a fully-convex harmonic function, maps each subdisk $|z|=r<1$ onto a convex curve. Here we synthesis these two ideas and introduce a family of univalent harmonic
Shahpour Nosrati, Ahmad Zireh
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Hermite-Hadamard type inequalities for p-convex functions via fractional integrals
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
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On convex combinations of harmonic mappings [PDF]
Journal of Inequalities and Applications, 2020 AbstractLet$\psi_{\mu,\nu}(z)=(1-2\cos\nu e^{i\mu}z+e^{2i\mu}z^{2})^{-1}$ψμ,ν(z)=(1−2cosνeiμz+e2iμz2)−1,$\mu,\nu\in[0,2\pi)$μ,ν∈[0,2π)andpbe an analytic mapping with$\operatorname{Re} p>0$Rep>0on the open unit disk. We consider the sense-preserving planar harmonic mappings$f=h+\overline{g}$f=h+g‾, which are shears of the mapping$\int_{0}^{z ...
Subzar Beig, Young Jae Sim, Nak Eun Cho
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Journal of Function Spaces, 2021 The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency in many applied sciences. In the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically ψ-s ...
Hu Ge-JiLe +3 more
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Fractal and Fractional, 2022 The purpose of this study is to define a new class of harmonically convex functions, which is known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F), and to establish novel inclusions for a newly defined class of interval-
Muhammad Bilal Khan +4 more
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