Stable functions and extension of Vietoris' theorem

DOI10.1007/s00025-011-0127-8zbMath1256.42002OpenAlexW2071757470MaRDI QIDQ692502

Saiful Rahman Mondal, Anbhu Swaminathan

Publication date: 6 December 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0127-8

zbMATH Keywords

convex functionsclose-to-convex functionsstarlike functionsCesáro meanspositive trigonometric sum

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (7)

Some subordination involving polynomials induced by lower triangular matrices ⋮ On stable functions ⋮ Starlikeness of Gaussian hypergeometric functions using positivity techniques ⋮ On the study of trigonometric polynomials using strum sequence ⋮ Stable functions of Janowski type ⋮ On generalized Cesàro stable functions ⋮ Certain geometric properties of Mittag-Leffler functions

Cites Work

• On a conjecture for trigonometric sums and starlike functions. II.
• Linear operators between classes of prestarlike functions
• Stable functions and Vietoris' theorem
• On a conjecture for trigonometric sums and starlike functions
• Extensions of Vietoris's inequalities I
• An extension of Vietoris's inequalities
• Positivity of some basic cosine sums
• Coefficient conditions for starlike functions
• Examples of trigonometric series with non-negative partial sums
• Some Positive Trigonometric Sums
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• Unnamed Item

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