New inequalities of Ostrowski-Grüss type

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

Abstrakty

EN

The main aim of the present paper is to establish new inequalities of Ostrowski-Griiss type, involving two functions and their derivatives via certain integral identity.

Słowa kluczowe

EN

inequality; Ostrowski-Grüss type; integral identity; Korkine's identity; midpoint inequalities

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2007
• Tom: Nr 38
• Strony: 97--104
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Pachpatte B. G.

• 57 Shri Niketan Colony, Near Abhinay Talkies, Aurangabad 431 001 (Maharashtra) India,

Bibliografia

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• [2] CHENG X.L., Improvement of some Ostrowski-Griiss type inequalities, Computers Math. Applic., 42(1/2)(2001), 109-114.
• [3] DRAGOMIR S.S., WANG S., An inequality of Ostrowski-Griiss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. Applic., 33(11)(1997), 16-20.
• [4] MATIĆ M., PEĆARIÓ J., UJEVIC N., Improvement and further generalization of inequalities of Ostrowski-Griiss type, Computers Math. Applic., 39(2000), 161-175.
• [5] MITRINOVIC D.S., PEĆARIĆ J.E., FINK A.M., Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publisher, Dordrecht, 1991.
• [6] MITRINOVIC D.S., PEĆARIĆ J.E., FINK A.M., Classical and new Inequalities in Analysis, Kluwer Academic Publisher, Dordrecht, 1993.
• [7] PACHPATTE E.G., On Trapezoid and Griiss like integral inequalities, Tamkang J. Math., 34(4)(2003), 365-369.
• [8] PACHPATTE E.G., On Griiss like integral inequalities via Pompeiu's mean value theorem, J. Inequal. Pure and Appl. Math., 6(3) Art.82, 2005.
• [9] PACHPATTE E.G., A note on Ostrowski like inequalities, J. Inequal. Pure and Appl. Math., 6(4) Art.114, 2005.
• [10] PACHPATTE E.G., On Ostrowski-Griiss-Cebsev type inequalities for functions whose modulus of derivatives are convex, J. Inequal. Pure and Appl. Math., 6(4) Art.128, 2005.
• [11] PEARCE C.E.M., PEĆARIĆ J., UJEVIC N., VAROSANEC S., Generalizations of some inequalities of Ostrowski-Griiss type, Math. Inequal. Appl., 3(1)(2000), 25 -34.
• [12] UJEVIC N., Better bounds for an inequality of the Ostrowski type with applications, Computers Math.Applic., 46(2003), 421-427.