Results 31 to 40 of about 5,352,010 (246)
Certain convex harmonic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim +2 more
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Axioms, 2022 Integral inequalities have accumulated a comprehensive and prolific field of research within mathematical interpretations. In recent times, strategies of fractional calculus have become the subject of intensive research in historical and contemporary ...
Muhammad Tariq +4 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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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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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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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 A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS
Journal of the Korean Mathematical Society, 2006 We deflne and investigate a subclass of complex val- ued harmonic convex functions that are univalent and sense pre- serving in the open unit disk. We obtain coe-cient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Yalcin, Sibel, Ozturk, Metin
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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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Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals [PDF]
, 2021 In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Hüseyin Budak +9 more
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On Generalization of Different Integral Inequalities for Harmonically Convex Functions [PDF]
Symmetry, 2022 In this study, we first prove a parameterized integral identity involving differentiable functions. Then, for differentiable harmonically convex functions, we use this result to establish some new inequalities of a midpoint type, trapezoidal type, and Simpson type.
Jiraporn Reunsumrit +3 more
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