On generalizations of Ostrowski inequality via some Euler-type identities

Mathematical Inequalities and Applications

Volumn 3, Issue 3, 2000, Pages 337-353

  Dedic Lj ^a   Matic M ^b   Pecaric J ^c  

^a UNIVERSITY OF SPLIT   (Croatia)

^b UNIVERSITY OF SPLIT   (Croatia)

^c UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Bernoulli polynomials; Bounded variation; Ostrowski inequality

Indexed keywords

EID: 0012618428     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-03-35     Document Type: Article

References (6)

1. A. OSTROWSKI, Über die Absolutabweichung einer differentiebaren Funktion von ihren Integralmittelwert, Comment. Math. Helv. 10 (1938), pp. 226-227.
2. V. I. KRYLOV, Approximate calculation of integrals, Macmillan, New York-London, 1962.
3. M. ABRAMOWITZ AND I. A. STEGUN (Eds), Handbook of mathematical functions with formulae,graphs and mathematical tables, National Bureau of Standards, Applied Math.Series 55, 4th printing, Washington 1965.
4. M. MATIĆ, J. PEČARIĆ AND N. UJEVIĆ, Improvement and further generalization of some inequalities of Ostrowski-Grüss type, Computers Math. Applic. 39 (2000), 161-175.
5. M. MATIĆ, J. PEČARIĆ AND N. UJEVIĆ, Generalization of an inequality of Ostrowski type and some related results, Indian Jour. Math. (to appear).
6. S. S. DRAGOMIR AND N. S. BARNETT, An Ostrowski type inequality for mappings whose second derivatives are bounded and applications, The Journal of the Indian Mathematical Society (submitted)