Khalid Mahmood AWAN, Josip PECARIC, Mihaela Ribicic PENAVA

Companion inequalities to Ostrowski Gr¨uss type inequality and applications

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

The aim of this paper is to give some companion inequalities to the Ostrowski-Gr¨uss type inequality for n-time differentiable absolutely continuous functions by using recently obtained bounds for the Chebyshev functional.

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[1] Aljinovi´c AA, Civljak A, Kovaˇc S, Peˇcari´c J, Penava MR. General Integral Identities and Related Inequalities, ˇ Monographs in Inequalities 5. Zagreb, Croatia: Element, 2013.
[2] Aljinovi´c AA, Peˇcari´c J, Penava MR. Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity. ANZIAM J 2009; 51: 67101.
[3] Cerone P, Dragomir SS. Some new Ostrowski-type bounds for the Cebyˇsev functional and applications. J Math ˇ Inequal 2014; 8: 159170.
[4] Dragomir SS. Some companions of Ostrowskis inequality for absolutely continuous functions and applications. Facta Universitatis Ser Math Inform 2004; 19: 116.
[5] Dragomir SS. A companion of Ostrowskis inequality for functions of bounded variation and applications. RGMIA 2002; 5: Suppl.
[6] Frani´c I, Peˇcari´c J, Peri´c I, Vukeli´c A. Euler Integral Identity, Quadrature Formulae and Error Estimations (from the Point of View of Inequality Theory). Zagreb, Croatia: Element, 2011.
[7] Mati´c M, Peˇcari´c J, Ujevi´c N. Improvement and further generalizations of some inequalities of Ostrowski-Gr¨uss type. Computers Math Appl 2000; 39: 161175.
[8] Mitrinovi´c DS, Peˇcari´c JE, Fink AM. Classical and New inequalities in Analysis, Kluwer Academic, Dordrecht, 1993.
[9] Ostrowski A. Uber die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert. Comment Math Helv 1938; 10: 226227 (in German).