On a conjecture for trigonometric sums and starlike functions. II.

DOI10.1016/j.jat.2009.11.007zbMath1200.42002OpenAlexW4254529661WikidataQ123360997 ScholiaQ123360997MaRDI QIDQ976205

Stamatis Koumandos, Martin Lamprecht

Publication date: 17 June 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.11.007

zbMATH Keywords

starlike functionGegenbauer polynomialcompletely monotonic functionpositive trigonometric inequality

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Other analytical inequalities (26D20) Trigonometric polynomials, inequalities, extremal problems (42A05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32) Inequalities in the complex plane (30A10)

Related Items (8)

Some subordination involving polynomials induced by lower triangular matrices ⋮ Sharp estimates for various trigonometric sums ⋮ Coefficient conditions for starlikeness of nonnegative order ⋮ On the study of trigonometric polynomials using strum sequence ⋮ Complete monotonicity and related properties of some special functions ⋮ Stable functions and extension of Vietoris' theorem ⋮ Some completely monotonic functions of positive order ⋮ On generalized Cesàro stable functions

Cites Work

• Remarks on some completely monotonic functions
• Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
• Completely monotonic and related functions
• On a conjecture for trigonometric sums and starlike functions
• Positive Gegenbauer polynomial sums and applications to starlike functions
• An extension of Vietoris's inequalities
• Monotonicity of some functions involving the gamma and psi functions
• Some Positive Trigonometric Sums
• What is the Laplace Transform?
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