Open AccessA NEW INEQUALITY OF OSTROWSKI'S TYPE IN $L_1$ NORM AND APPLICATIONS TO SOME SPECIAL MEANS AND TO SOME NUMERICAL QUADRATURE RULES
Author(s) -
Sever S Dragomir,
Song Wang
Publication year - 1997
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.28.1997.4320
Subject(s) - mathematics , quadrature (astronomy) , norm (philosophy) , inequality , tanh sinh quadrature , numerical integration , gauss–kronrod quadrature formula , pure mathematics , calculus (dental) , algebra over a field , mathematical analysis , nyström method , integral equation , law , political science , medicine , dentistry , electrical engineering , engineering
In this paper we prove a new Ostrowski's inequality in $L_1$-norm and apply it to the estimation of error bounds for some special means and for some numerical quadrature rules.