Examples of trigonometric series with non-negative partial sums

DOI10.1070/SM1995V186N04ABEH000028zbMath0835.42006OpenAlexW1978710336MaRDI QIDQ4864714

Alexander S. Belov

Publication date: 25 February 1996

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

Full work available at URL: https://doi.org/10.1070/sm1995v186n04abeh000028

zbMATH Keywords

trigonometric cosine seriestrigonometric sine seriesnon-negative partial sums

Mathematics Subject Classification ID

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (14)

An extension of Vietoris's inequalities ⋮ Sharpening of the estimates for relative widths of classes of differentiable functions ⋮ On the domain of constancy of the sign of a harmonic function in the unit disk with additional conditions on the boundary ⋮ Estimating the smallest positive zero of sine series of a harmonic function in a disk ⋮ On the positivity of certain trigonometric sums and their applications ⋮ An improved Vietoris sine inequality ⋮ On the study of trigonometric polynomials using strum sequence ⋮ Classes of Nonnegative Sine Polynomials ⋮ Stable functions and extension of Vietoris' theorem ⋮ A refinement of Vietoris' inequality for sine polynomials ⋮ Inequalities for sine sums with more variables ⋮ Taylor coefficients of negative powers of schlicht functions ⋮ Estimates of the least positive root of the sum of a sine series with monotone coefficients ⋮ On the norms of Favard kernels

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