Limit theorems for logarithmic means

DOI10.1016/0022-247X(87)90309-XzbMath0618.26015MaRDI QIDQ1089121

Arthur O. Pittenger

Publication date: 1987

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

zbMATH Keywords

inequalitiesstrong law of large numberslimit theoremsextended mean valuesbeta integralmultivariate meanslogarithmic meansGlivenko-Cantelli theoremasymptotic formulaeconvex combination of differencesLeach-Sholander meansparametrized distribution functions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Strong limit theorems (60F15) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

Homogeneous mean values: weights and asymptotics

Cites Work

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• Multi-variable extended mean values
• Extended mean values. II
• The Logarithmic Mean in n Variables
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• Extended Mean Values
• A Hypergeometric Mean Value
• Some Inequalities for Hypergeometric Functions

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