Results 31 to 40 of about 2,327 (208)
Convexity In Multivalued Harmonic Functions
Real Analysis Exchange, 2022 We investigate variants of a Three Circles type Theorem in the context of \mathcal{Q}-valued functions. We prove some convexity inequalities related to the L^{2} growth function in the \mathcal{Q}-valued settings. Optimality of these inequalities and comparsion to the case of real valued harmonic functions is also discussed.
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Mathematics, 2021 Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid +3 more
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New fractional approaches for n-polynomial P-convexity with applications in special function theory
Advances in Difference Equations, 2020 Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen +4 more
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Ostrowski-Type Fractional Integral Inequalities: A Survey
Foundations, 2023 This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq +2 more
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Journal of Mathematics, 2022 The main objective of this article is to introduce the notion of n–polynomial harmonically tgs–convex function and study its algebraic properties. First, we use this notion to present new variants of the Hermite–Hadamard type inequality and related ...
Artion Kashuri +8 more
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Mathematics, 2021 In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function Υ˘ using an another function ϑ(ζ˙).
Humaira Kalsoom +3 more
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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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Some Characterizations of Harmonic Convex Functions
International Journal of Analysis and Applications, 2017 In this paper, we show that the harmonic convex functions have some nice properties, which convex functions enjoy. We also discuss some basic properties of harmonic convex functions. The techniques and ideas of this paper may be a starting point for future research.
Muhammad Aslam Noor +2 more
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Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]
, 2015 In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman +36 more
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On p-harmonic maps and convex functions [PDF]
manuscripta mathematica, 2010 8 ...
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