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On the Čebyšev's inequality for weighted means

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Abstract

Some new sufficient conditions for the weighted Čebyšev's inequality for real numbers to hold are provided.

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References

  1. P. L. Čebyšev, —O približennyh vyrăzenijah odnih integralov čerez drugie,Soobšćenija i protokoly zasedani Matemmat ceskogo občestva pri Imperatorskom Har'kovskomUniversitete, No. 2, 93–98; Polnoe sobranie sočineni P. L. Čebyševa. (1882) Moskva-Leningrad, 1948a, 128-131.

  2. P. L. Čebyšev, —Ob odnom rjade, dostavljajušćem predel'nye veličinyintegralov pri razloženii podintegral'no funkcii na množeteli, Priloženi k 57 tomu Zapisok Imp.Akad. Nauk, No. 4; Polnoe sobranie sočineni P. L. Čebyševa. (1883}), Moskva-Leningrad, 1948b, 157–1

  3. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 1st ed. and 2nd ed. Cambridge University Press (Cambridge, 1934, 1952).

    Google Scholar 

  4. M. Biernacki, —Sur une inégalité entre les intégrales due à Tchebyscheff, Ann. Univ. Mariae Curie-Sklodowska, A5 (1951), 23–29.

    MathSciNet  Google Scholar 

  5. D. S. Mitrinović, J. E. Pečarič and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic (Dordrecht, 1993).

    Google Scholar 

  6. D. S. Mitrinović and J. E. Pečarić, On an identity of D.Z. Djoković}, Prilozi Mak. Akad.Nauk. Umj. (Skopje), 12 (1991), 21–22.

    Google Scholar 

  7. S. S. Dragomir and J. E. Pečarić, Refinements of some inequalities for isotonic linear functionals, L'Anal. Num. Théor de L'Approx., 18 (1989), 61–65.

    MATH  Google Scholar 

  8. S. S. Dragomir, On some improvements of Čebyšev's inequality for sequences and integrals, Studia Univ. Babeş-Bolyai, Mathematica, XXXV (1990), 35–40.

    Google Scholar 

  9. J. E. Pečarić and S. S. Dragomir, Some remarks on Čebyšev's inequality, L'Anal. Num. Théor de L'Approx., 19 (1990), 58–65.

    Google Scholar 

  10. S. S. Dragomir, Some improvement of Cebysev's inequality for isotonic functionals, Atti. Sem. Mat. Fis. Univ. Modena (Italy), 41 (1993), 473–481.

    MATH  Google Scholar 

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  1. School of Computer Science and Mathematics, Victoria University of Technology, P.O. Box 14428, Melbourne City, MC 8001, Victoria, Australia

    S.S. Dragomir

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  1. S.S. Dragomir
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Dragomir, S. On the Čebyšev's inequality for weighted means. Acta Mathematica Hungarica 104, 345–355 (2004). https://doi.org/10.1023/B:AMHU.0000036294.17857.c3

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