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A generalized Lagrange identity and Cauchy-Buniakovsky inequality. (English) Zbl 1101.26017

Summary: The purpose of this note is to give an extension to the Lagrange identity by G. H. Hardy, J. E. Littlewood and George Pólya [“Inequalities” (1952; Zbl 0047.05302)], and by D. S. Mitrinovic [“Analytic inequalities” (1970; Zbl 0199.38101)] and then an extension to the Cauchy-Buniakovsky inequality.

MSC:

26D15 Inequalities for sums, series and integrals
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