On the Ostrowski type integral inequality for double integrals

• Autorzy: Sarikaya M. Z.
• Języki publikacji: EN

Abstrakty

EN

In this note, we establish a new inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Słowa kluczowe

EN

Ostrowski's inequality

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 3
• Strony: 533--540
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Sarikaya M. Z.

• Department Of Mathematics Faculty Of Science And Arts Düzce University Düzce-Turkey,

Bibliografia

• [1] N. S. Barnett, S. S. Dragomir, An Ostrowski type inequality for double integrals and applications for cubature formulae, Soochow J. Math. 27(1) (2001), 109–114.
• [2] S. S. Dragomir, N. S. Barnett, P. Cerone, An n-dimensional version of Ostrowski’s inequality for mappings of Hölder type, RGMIA Res. Pep. Coll. 2(2) (1999), 169–180.
• [3] A. M. Ostrowski, Über die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert , Comment. Math. Helv. 10 (1938), 226–227.
• [4] B. G. Pachpatte, On an inequality of Ostrowski type in three independent variables, J. Math. Anal. Appl. 249 (2000), 583–591.
• [5] B. G. Pachpatte, On a new Ostrowski type inequality in two independent variables, Tamkang J. Math. 32(1) (2001), 45–49.
• [6] B. G. Pachpatte, A new Ostrowski type inequality for double integrals, Soochow J. Math. 32(2) (2006), 317–322.
• [7] M. Z. Sarikaya, On the Ostrowski type integral inequality, Acta Math. Univ. Comenianae 79(1) (2010), 129–134.
• [8] N. Ujević, Some double integral inequalities and applications, Appl. Math. E-Notes 7 (2007), 93–101.