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Leach, E. B.; Sholander, M. C.

Extended mean values. II. (English) Zbl 0517.26007

J. Math. Anal. Appl. 92, 207-223 (1983).
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Cited in 10 Reviews
Cited in 52 Documents

MSC:

26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals

Keywords:

logarithmic; identric; arithmetic; geometric; harmonic; reverse means; Fubini’s theorem; slope; gradient; dominance; index points

Citations:

Zbl 0040.179; Zbl 0302.26003; Zbl 0379.26012; Zbl 0389.26008
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\textit{E. B. Leach} and \textit{M. C. Sholander}, J. Math. Anal. Appl. 92, 207--223 (1983; Zbl 0517.26007)
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References:

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[15] Pólya, G; Szegö, G, Isoperimetric inequalities in mathematical physics, (1951), Princeton Univ. Press Princeton, N.J., · Zbl 0044.38301
[16] Stolarsky, K.B, Generalizations of the logarithmic Mean, Math. mag., 48, 87-92, (1975) · Zbl 0302.26003
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[20] Tettamanti, K; Sárkány, G; Králik, D; Stomfai, R, Über die annäherung logarithmischer funktionen durch algebraische funktionen, Period. polytech. chem. engrg., 14, 99-111, (1970)
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.