A note on new integral inequalities of Gruss type

• Autorzy: Pachpatte, B.
• Języki publikacji: EN

Abstrakty

EN

The aim of this note is to establish two new Gruss type integral inequalities involving functions and their derivatives by using a fairly elementary analysis.

Słowa kluczowe

PL

funkcje całkowe; nierówności całkowe; tożsamość całkowa

EN

integrable functions; integral inequalities; integral identity; Gruss type integral inequalities

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 321-326
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pachpatte, B.

• 57 Shri Niketan Colony, near Abhinay Talkies, Aurangabad 431 (Maharashtra) India,

Bibliografia

• [1] S. S. Dragomir, Some integral inequalities of Grüss type, Indian J. Pure and Appl. Math. 31 (2000), 379-415.
• [2] S. S. Dragomir, P. Cerone and J. Roumeliotis, A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means, RGMIA Research Report Collection 2(1) (1999), 123-130.
• [3] A. M. Fink, A treatise on Grüss inequality, Analytic and Geometric Inequalities and Applications, T. M. Rassias and H. M. Srivastava (eds.), Kluwer Academic Publishers, Dordrecht 1999, pp. 93-113.
• [4] G. Grüus s, Über das maximum des absoluten Betrages Von 1/b - a?b\af(x)g(x)dx -1/(b - a)2?b\af(x)dx?b\ag(x)dx, ath. Z. 39 (1935), 215-226.
• [5] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.
• [6] B. G. Pachpatte, On Grüss type integral inequalities, J. Inequal. Pure and Appl. Math. 3(1) (2002), Art. 11.
• [7] B. G. Pachpatte, New integral inequalities for differentiable functions, Tamkang J. Math. 34(3) (2003), 249-253.
• [8] B. G. Pachpatte, On Trapezoid and Grüss like integral inequalities, Tamkang J. Math. 34(4) (2003), 365-369.
• [9] B. G. Pachpatte, New weighted multivariate Grüss type inequalities, J. Inequal. Pure and Appl. Math. 4(5) (2003), Art. 108.
• [10] B. G. Pachpatte, A note on Ostrowski and Grüss type discrete inequalities, Tamkang J. Math. 35(1) (2004), 61-65.