Extending tests for convergence of number series

DOI10.1016/j.jmaa.2010.10.007zbMath1216.40001OpenAlexW1969527581MaRDI QIDQ626157

Elijah Liflyand, Maria Zeltser, Sergey Yu. Tikhonov

Publication date: 22 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.007

zbMATH Keywords

convergence/divergence of number seriesmonotone/weakly monotone/generally monotone functions and sequences

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30)

Related Items (12)

Unnamed Item ⋮ Multiple sine series and Nikol'skii classes in uniform metric ⋮ General monotonicity and interpolation of operators ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Unnamed Item ⋮ Smoothness and asymptotic properties of functions with general monotone Fourier coefficients ⋮ The behavior at infinity of an integrable function ⋮ A note on the behavior of integrable functions at infinity ⋮ Uniform convergence of Hankel transforms ⋮ Functions preserving general monotone sequence ⋮ Unnamed Item ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trigonometric series with general monotone coefficients
• Inequalities of Hardy-Littlewood type
• The Fourier Transforms of General Monotone Functions
• A concept of general monotonicity and applications
• An extension of the integral test
• On Monotone Series
• Quasi-Monotone Series
• A Note on a Generalization of the Cauchy-Maclaurin Integral Test
• Remarks on Some Generalizations of Cauchy's Condensation and Integral Tests

This page was built for publication: Extending tests for convergence of number series