On Leibniz series defined by convex functions

DOI10.1016/J.JMAA.2004.06.038zbMath1058.40002OpenAlexW2031780034WikidataQ122861241 ScholiaQ122861241MaRDI QIDQ1765792

Vlad Timofte

Publication date: 23 February 2005

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.2004.06.038

zbMATH Keywords

Leibniz seriesError estimateConvex functionPartial sum

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convexity of real functions in one variable, generalizations (26A51)

Related Items (5)

Sharp estimate of the remainder of some alternating series ⋮ Bounds for Bateman's \(G\)-function and its applications ⋮ Estimating the remainder of an alternating p-series using hypergeometric functions ⋮ Integral estimates for convergent positive series ⋮ Simple derivation of the Euler-Boole type summation formula and examples of its use

Cites Work

• Unnamed Item
• Half integer approximations for the partial sums of the harmonic series
• Cesàro's theorems for complex sequences
• On the alternating series \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\)
• Integral estimates for convergent positive series
• Summing an Alternating Series

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