On the positivity of certain trigonometric sums and their applications
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Publication:2429028
DOI10.1016/j.camwa.2011.09.037zbMath1236.42002OpenAlexW2048597525MaRDI QIDQ2429028
Anbhu Swaminathan, Saiful Rahman Mondal
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.09.037
Related Items (9)
Coefficient conditions for starlikeness of nonnegative order ⋮ Starlikeness of Gaussian hypergeometric functions using positivity techniques ⋮ On the study of trigonometric polynomials using strum sequence ⋮ Classes of Nonnegative Sine Polynomials ⋮ Geometric properties of Cesàro averaging operators ⋮ Fekete-Szegő problem for a certain subclass of close-to-convex functions ⋮ A refinement of Vietoris’ inequality for cosine polynomials ⋮ On generalized Cesàro stable functions ⋮ Certain geometric properties of Mittag-Leffler functions
Cites Work
- On a monotonic trigonometric sum
- On the order of starlikeness of the shifted Gauss hypergeometric function
- A class of positive trigonometric sums
- Geometric properties of the Cesàro means
- On a conjecture for trigonometric sums and starlike functions
- Extensions of Vietoris's inequalities I
- Positive Gegenbauer polynomial sums and applications to starlike functions
- Nonnegative sums of cosine, ultraspherical and Jacobi polynomials
- An extension of Vietoris's inequalities
- Positivity and boundedness of trigonometric sums
- Applications of a Convolution Theorem to Jacobi Polynomials
- New Criteria for Univalent Functions
- Successive Coefficients of Univalent Functions
- Positivity of some basic cosine sums
- Coefficient conditions for starlike functions
- Examples of trigonometric series with non-negative partial sums
- Shorter Notes: On a Positive Trigonometric Sum
- Some Positive Trigonometric Sums
- A NEW REFINEMENT OF YOUNG'S INEQUALITY
- Power series with multiply monotonic coefficients
- Two theorems on schlicht functions
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