THE REMAINDER TERM OF SOME QUADRATURE FORMULAE
ANA MARIA ACU(1), ARIF RAFIQ(2), CARMEN VIOLETA MURARU(3)
(1). "Lucian Blaga" University, Department of Mathematics, Sibiu, Romania, e-mail: acuana77@yahoo.com
(2). COMSATS Institute of Information Technology, Department of Mathematics, Islamabad, Pakistan, e-mail: arafiq@comsats.edu.pk
(3). University of Bacau, Department of Mathematics, Bacau, Romania, e-mail: carmen_7419@yahoo.com
Abstract
In this paper we give some new quadrature formulae and we derive the estimates for the remainder term. The optimality in the sense of Nikolski of some quadrature formulae is studied. A property of the intermediate point for the optimal quadrature formula is established.