New inequalities of Cebysev type for double integrals

• Autorzy: Pachpatte B.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish new inequalities of Čebyšev type involving functions of two independent variables by using certain integral identities.

Słowa kluczowe

EN

inequalities; inequalities of Cebysev; double integrals; two independent variables; Fubini's theorem; integral identities

PL

nierówności; nierówności typu Cabyseva; twierdzenie Fubinisa; całki

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 43--50
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Pachpatte B.

• Near Abhinay Talkies Aurangabad 431 001 (Maharashtra) India,

Bibliografia

• [1] N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for double integrals and application for cubature formulae, RGMIA Res. Rep. Coll. 1 (1998), 13–22.
• [2] P. L. Čebyšev, Sue les expressions approximatives des integrales definies parles aures prises entre les memes limites, Proc. Math. Soc. Charkov 2 (1882), 93–98.
• [3] S. S. Dragomir, P. Cerone, N. S. Barnett and J. Roumeliotis, An inequality of Ostrowski type for double integrals and applications for cubature formulae, RGMIA Res. Rep. Coll. 2 (1999), 781–796.
• [4] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.
• [5] B. G. Pachpatte, On Gruss type inequalities for double integrals, J. Math. Anal. Appl. 267 (2002), 454–459.