On generalizations of Ostrowski inequality and some related results

Lj. Dedić; Josip E. Pečarić; Nenad Ujević

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 1, page 173-189
  • ISSN: 0011-4642

Abstract

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Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given.

How to cite

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Dedić, Lj., Pečarić, Josip E., and Ujević, Nenad. "On generalizations of Ostrowski inequality and some related results." Czechoslovak Mathematical Journal 53.1 (2003): 173-189. <http://eudml.org/doc/30767>.

@article{Dedić2003,
abstract = {Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given.},
author = {Dedić, Lj., Pečarić, Josip E., Ujević, Nenad},
journal = {Czechoslovak Mathematical Journal},
keywords = {Ostrowski inequality; Milovanović-Pečarić-Fink inequality; Dragomir-Agarwal inequality; Hadamard inequality; Ostrowski inequality; Milovanović-Pečarić-Fink inequality; Dragomir-Agarwal inequality; Hadamard inequality},
language = {eng},
number = {1},
pages = {173-189},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On generalizations of Ostrowski inequality and some related results},
url = {http://eudml.org/doc/30767},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Dedić, Lj.
AU - Pečarić, Josip E.
AU - Ujević, Nenad
TI - On generalizations of Ostrowski inequality and some related results
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 1
SP - 173
EP - 189
AB - Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given.
LA - eng
KW - Ostrowski inequality; Milovanović-Pečarić-Fink inequality; Dragomir-Agarwal inequality; Hadamard inequality; Ostrowski inequality; Milovanović-Pečarić-Fink inequality; Dragomir-Agarwal inequality; Hadamard inequality
UR - http://eudml.org/doc/30767
ER -

References

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  2. Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Acad. Publ., Dordrecht, 1991. (1991) MR1190927
  3. 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. (1976) MR0457648
  4. Bounds of the derivation of a function from its avereges, Czechoslovak Math.  J. 42(117) (1992), 289–310. (1992) MR1179500
  5. 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. (1997) MR1486792
  6. 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). (to appear) MR1486792
  7. On new estimation of the remainder in generalized Taylor’s formula, Math. Inequal. Appl. 2 (1999), 343–361. (1999) 
  8. 10.1016/S0893-9659(98)00086-X, Appl. Math. Lett. 11 (1998), 91–95. (1998) MR1638774DOI10.1016/S0893-9659(98)00086-X
  9. 10.1016/S0893-9659(99)00164-0, Appl. Math. Lett 13 (2000), 51–55. (2000) MR1751523DOI10.1016/S0893-9659(99)00164-0
  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. (1965) MR0177136

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