Examples concerning Abel and Cesàro limits

DOI10.1016/j.jmaa.2014.06.017zbMath1345.40005arXiv1310.2482OpenAlexW2963883654MaRDI QIDQ401107

Junyu Zhang, Eugene A. Feinberg, Christopher J. Bishop

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1310.2482

zbMATH Keywords

Tauberian theoremHardy-Littlewood theoremAbel limitCesàro limit

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Abel, Borel and power series methods (40G10) Markov processes (60J99)

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Cites Work

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• Average optimality in dynamic programming on Borel spaces -- unbounded costs and controls
• Some comments on a theorem of Hardy and Littlewood
• Average Cost Markov Decision Processes with Weakly Continuous Transition Probabilities
• An $\varepsilon $-Optimal Control of a Finite Markov Chain with an Average Reward Criterion
• Summability of alternating gap series
• Average Optimality in Dynamic Programming with General State Space
• Optimal Control of a Large Dam
• Stochastic Games with Perfect Information and Time Average Payoff

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