Multivariate Chebyshev-Gruss and comparison of integral means type inequalities via a multivariate Euler type identity

• Autorzy: Anastassiou G.
• Języki publikacji: EN

Abstrakty

EN

In this article we establish new tight multivariate Chebyshev-Gruss and Comparison of Integral means inequalities by using a general multivariate Euler type identity. Our results involve the functions f, g and their high order single partials and are with respect to II ź IIp, 1

Słowa kluczowe

EN

multivariate Chebyshev-Gruss inequality; comparison of multivariate integral means inequality; multivariate Euler type identity

PL

wielowymiarowa nierówność Chebysheva-Grussa; tożsamość typu Eulera; funkcje matematyczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 3
• Strony: 537--558
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Anastassiou G.

• Department of Mathematical Sciences The University of Memphis Memphis, TN 38152, U.S.A.,

Bibliografia

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• [3] G. A. Anastassiou, Difference of General Integral Means, to appear "Journal of Inequalities in Pure and Applied Mathematics", 2006, vol. 7, No 5, article 185, an electronic journal, http://jipam.vu.edu.au/
• [4] G. A. Anastassiou, On Grüss Type Multivariate Integral Inequalities, Math. Balkanica, New Series Vol. 17, 2003, Fasc. 1-2, 1-13.
• [5] P. L. Čebyšev, Sur les expressions approximatives des intégrales définies par les autres prises entre les mémes limites, Proc. Math. Soc. Charkov 2 (1882), 93-98.
• [6] L. Dedic, M. Matic, and J. Pecaric, On generalizations of Ostrowski inequality via some Euler-type identities, Math. Inequal. Appl. vol. 3(3) (2000), 337-353.
• [7] S. S. Dragomir, Some inequalities of Grüss type, Indian J. Pure Appl. Math. 31 (2000), 397-415.
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• [9] B. G. Pachpatte, New weighted multivariate Grüss type inequalities, electronic Journal: "Journal of Inequalities in Pure and Applied Mathematics", http://jipam/vu.edu.au/, Volume 4, Issue 5, Article 108, 2003.