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Some new results related to Favard’s inequality. (English) Zbl 1175.26042

Summary: Log-convexity of Favard’s difference is proved, and Drescher’s and Lyapunov’s type inequalities for this difference are deduced. The weighted case is also considered. Related Cauchy type means are defined, and some basic properties are given.

MSC:

26D15 Inequalities for sums, series and integrals
26E60 Means
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References:

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