Geometric properties of Cesàro averaging operators
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Publication:1785610
DOI10.1155/2017/6584584zbMath1400.30032arXiv1708.00162OpenAlexW2740117531MaRDI QIDQ1785610
Publication date: 1 October 2018
Published in: Journal of Complex Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00162
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)
Related Items (2)
On the study of trigonometric polynomials using strum sequence ⋮ On generalized Cesàro stable functions
Cites Work
- Boundedness of generalized Cesàro averaging operators on certain function spaces
- Geometric properties of the Cesàro means
- Linear operators between classes of prestarlike functions
- Stable functions and Vietoris' theorem
- Starlikeness of Gaussian hypergeometric functions using positivity techniques
- On the positivity of certain trigonometric sums and their applications
- Zero-free approximants to derivatives of prestarlike functions
- Extensions of Vietoris's inequalities I
- Nonnegative sums of cosine, ultraspherical and Jacobi polynomials
- An extension of Vietoris's inequalities
- Circular Distributions Based on Nonnegative Trigonometric Sums
- Applications of a Convolution Theorem to Jacobi Polynomials
- Jacobi Polynomial Sums and Univalent Cesaro Means
- Univalent Polynomials and Non-Negative Trigonometric Sums
- Cesàro averaging operators
- Coefficient conditions for starlike functions
- Positive trigonometric polynomials and signal processing applications
- Nonnegative trigonometric polynomials
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