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On the convergence of means

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Publication:803302
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DOI10.1016/0022-247X(91)90382-AzbMath0727.26012MaRDI QIDQ803302

Zsolt Páles

Publication date: 1991

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


zbMATH Keywords

quasi-arithmetic meansdeviation meansHoehn and Niven's theorem


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)


Related Items (7)

Limit properties in a family of quasi-arithmetic means ⋮ Limit theorems for deviation means of independent and identically distributed random variables ⋮ Lower estimation of the difference between quasi-arithmetic means ⋮ Some elementary aspects of means ⋮ On a lattice-like property of quasi-arithmetic means ⋮ Interval-type theorems concerning quasi-arithmetic means ⋮ Lever aggregation operators



Cites Work

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  • The asymptotic behavior of inhomogeneous means
  • Homogeneous mean values: weights and asymptotics
  • On the characterization of quasiarithmetic means with weight function
  • Characterization of quasideviation means
  • Averages on the Move
  • The Behaviour of Means Under Equal Increments of Their Variables


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