| Title:
|
On generalizations of Ostrowski inequality and some related results (English) |
| Author:
|
Dedić, Lj. |
| Author:
|
Pečarić, J. |
| Author:
|
Ujević, N. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
173-189 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given. (English) |
| Keyword:
|
Ostrowski inequality |
| Keyword:
|
Milovanović-Pečarić-Fink inequality |
| Keyword:
|
Dragomir-Agarwal inequality |
| Keyword:
|
Hadamard inequality |
| MSC:
|
26D10 |
| MSC:
|
26D15 |
| idZBL:
|
Zbl 1013.26020 |
| idMR:
|
MR1962007 |
| . |
| Date available:
|
2009-09-24T11:00:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127789 |
| . |
| Reference:
|
[1] A. Ostrowski: Über die Absolutabweichung einer differentierbaren Funktionen von ihren Integralmittelwort.Comment. Math. Helv. 10 (1938), 226–227. MR 1509574, 10.1007/BF01214290 |
| Reference:
|
[2] D. S. Mitrinović, J. Pečarić and A. M. Fink: Inequalities Involving Functions and Their Integrals and Derivatives.Kluwer Acad. Publ., Dordrecht, 1991. MR 1190927 |
| Reference:
|
[3] G. V. Milovanović and J. E. Pečarić: On generalizations of the inequality of A. Ostrowski and some related applications.Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. Fiz., No 544–No 576 (1976), 155–158. MR 0457648 |
| Reference:
|
[4] A. M. Fink: Bounds of the derivation of a function from its avereges.Czechoslovak Math. J. 42(117) (1992), 289–310. MR 1179500 |
| Reference:
|
[5] S. S. Dragomir and S. Wang: A new inequality of Ostrowski’s type in $L_1$-norm and applications to some special means and to some numerical quadrature rules.Thamkang J. Math. 28 (1997), 239–244. MR 1486792 |
| Reference:
|
[6] S. S. Dragomir and S. Wang: A new inequality of Ostrowski’s type in $L_p$-norm and applications to some special means and to some numerical quadrature rules.Thamkang J. Math (to appear). MR 1486792 |
| Reference:
|
[7] M. Matić and J. Pečarić and N. Ujević: On new estimation of the remainder in generalized Taylor’s formula.Math. Inequal. Appl. 2 (1999), 343–361. |
| Reference:
|
[8] S. S. Dragomir and R. P. Agarwal: The inequalities for differential mappings and applications to special means of real numbers and to trapezoidal formula.Appl. Math. Lett. 11 (1998), 91–95. MR 1638774, 10.1016/S0893-9659(98)00086-X |
| Reference:
|
[9] C. E. M. Pearce and J. Pečarić: Inequalities for differential mappings with applications to special means and quadrature formulas.Appl. Math. Lett 13 (2000), 51–55. MR 1751523, 10.1016/S0893-9659(99)00164-0 |
| Reference:
|
[10] : Handbook of mathematical functions with formulae, graphs and mathematical tables. National Bureau of Standards, Applied Math. Series 55, 4th printing.M. Abramowitz, I. A. Stegun (eds.), Washington, 1965. MR 0177136 |
| . |
