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Inversion of the Cauchy–Bunyakovskii–Schwarz inequality

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Abstract

In the present paper, the inequality inverse to the Cauchy–Bunyakovskii–Schwarz inequality and generalizing other well-known inversions of this inequality is proved.

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References

  1. I. D. Kan and D. A. Frolenkov, “A strengthening of a theorem of Bourgain and Kontorovich,” Izv. Ross. Akad. Nauk Ser. Mat. 78 2, 87–144 (2014) [Izv. Math. 78 2, 293–353 (2014)].

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  2. D. A. Frolenkov and I. D. Kan, “A strengthening of a theorem of Bourgain–Kontorovich. II,” Mosc. J. Comb. Number Theory 4 1, 78–117 (2014).

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  3. I. D. Kan, “A strengthening of a theorem of Bourgain and Kontorovich. III,” Izv. Ross. Akad. Nauk Ser. Mat. 79 2, 77–100 (2015) [Izv. Math. 79 2, 288–310 (2015)].

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Huang, An Improvement on Zaremba’s Conjecture, arXiv: 1303. 3772v1 (2013).

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  5. S. V. Konyagin, “Estimates of trigonometric sums over subgroups and of Gauss sums,” in IV International Conference “Topical Problems and Applications of Number Theory” Dedicated to the 180th Anniversary of P. L. Chebyshev and to the 110th Anniversary of I. M. Vinogradov, Tula, 2001, (Izd. Moskov. Univ., Moscow, 2002), Part III, pp. 86–114 [in Russian].

    Google Scholar 

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Correspondence to I. D. Kan.

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Original Russian Text © I. D. Kan, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 3, pp. 361–365.

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Kan, I.D. Inversion of the Cauchy–Bunyakovskii–Schwarz inequality. Math Notes 99, 378–381 (2016). https://doi.org/10.1134/S0001434616030056

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  • DOI: https://doi.org/10.1134/S0001434616030056

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