Further Accurate Numerical Radius Inequalities

Qawasmeh, Tariq; Qazza, Ahmad; Hatamleh, Raéd; Alomari, Mohammad W.; Saadeh, Rania

doi:10.20944/preprints202304.1255.v1

Cited by 2 publications

(1 citation statement)

References 37 publications

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“…Overall, this research provided valuable insights into the nature of the subset horizontal semi-infinite strip domain curve and its associated function. In the future we intend to study more inequalities [9,10,27] and new results related to improper integrals as in [1,2,31].…”

Section: Discussionmentioning

confidence: 99%

Analyzing convex univalent functions on semi-infinite strip domains

Masih,

Saadeh,

Fardi

et al. 2024

J. Math. Computer Sci.

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In this paper, a new class of analytic functions called convex univalent functions is introduced. These functions are of the formand they map the open unit disk onto a horizontal semi-infinite strip domain. The paper focuses on function families for which zf /f maps the unit disk to a subset of this strip domain. Several properties of this class of functions are discussed, including coefficient estimates, extreme points, and growth properties. The paper also explores connections to other classes of functions, such as starlike functions. There are several applications of this class of functions. They can be used in conformal mapping problems and problems related to the analysis of complex networks. The results presented in the paper can also be applied in constructing mathematical models that describe various physical phenomena, such as fluid dynamics and electromagnetism.

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Section: Discussionmentioning

confidence: 99%

Analyzing convex univalent functions on semi-infinite strip domains

Masih,

Saadeh,

Fardi

et al. 2024

J. Math. Computer Sci.

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Hölder-Type Inequalities for Power Series of Operators in Hilbert Spaces

Altwaijry,

Dragomir,

Feki

2024

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Consider the power series with complex coefficients h(z)=∑k=0∞akzk and its modified version ha(z)=∑k=0∞|ak|zk. In this article, we explore the application of certain Hölder-type inequalities for deriving various inequalities for operators acting on the aforementioned power series. We establish these inequalities under the assumption of the convergence of h(z) on the open disk D(0,ρ), where ρ denotes the radius of convergence. Additionally, we investigate the norm and numerical radius inequalities associated with these concepts.

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Further Accurate Numerical Radius Inequalities

Cited by 2 publications

References 37 publications

Analyzing convex univalent functions on semi-infinite strip domains

Analyzing convex univalent functions on semi-infinite strip domains

Hölder-Type Inequalities for Power Series of Operators in Hilbert Spaces

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