Abstract
In this paper, we establish the sharp Fekete-Szegö inequalities of functional type over a new class of holomorphic mappings on the unit disk in a complex plane. This class includes some significant widely studied classes. Further, we develop an method to extend our result to higher dimensions. The main theorems of this paper provide a generalization of the Fekete-Szegö coefficients problems for some known classes.
Funding statement: This work was supported by the National Natural Science Foundation of China (No.12061035), Jiangxi Provincial Natural Science Foundation (No.20252BAC240185) and Research Foundation of Jiangxi Science and Technology Normal University of China (No.2021QNBJRC003).
(Communicated by Marek Balcerzak)
References
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Articles in the same Issue
- A new categorical equivalence for stone algebras
- On special classes of prime filters in BL-algebras
- A note on characterized and statistically characterized subgroups of 𝕋 = ℝ/ℤ
- New Young-type integral inequalities using composition schemes
- The structure of pseudo-n-uninorms with continuous underlying functions
- Jensen-type inequalities for a second-order differential inequality condition
- A direct proof of the characterization of the convexity of the discrete Choquet integral
- Envelope of plurifinely plurisubharmonic functions and complex Monge-Ampère type equation
- Fekete-Szegö inequalities for Φ-parametric and β-spirllike mappings of complex order in ℂn
- Entire function sharing two values partially with its derivative and a conjecture of Li and Yang
- Oscillatory properties of third-order semi-canonical dynamic equations on time scales via canonical transformation
- Weighted B-summability and positive linear operators
- Some properties and applications of convolution algebras
- On measures of σ-noncompactess in F-spaces
- On the kolmogorov–feller–gut weak law of large numbers for triangular arrays of rowwise and pairwise negatively dependent random variables
- Intermediately trimmed sums of oppenheim expansions: A strong law
- Novel weighted distribution: Properties, applications and web-tool
- On the q-Gamma distribution: Properties and inference
- Finiteorthoatomistic effect algebras and regular algebraic E-test spaces
- Prof. RNDr. Anatolij Dvurečenskij, DrSc. 75th anniversary