Some selected Ostrowski type inequalities and a connection with numerical
integration are studied in this survey paper, which is dedicated to the
memory of Professor D. S. Mitrinovic, who left us 25 years ago. His
significant inuence to the development of the theory of inequalities is briefly
given in the first section of this paper. Beside some basic facts on
quadrature formulas and an approach for estimating the error term using
Ostrowski type inequalities and Peano kernel techniques, we give several
examples of selected quadrature formulas and the corresponding inequalities,
including the basic Ostrowski's inequality (1938), inequality of
Milovanovic and Pecaric (1976) and its modifications, inequality of
Dragomir, Cerone and Roumeliotis (2000), symmetric inequality of Guessab and
Schmeisser (2002) and asymmetric in-equality of Franjic (2009), as well as
four point symmetric inequalites by Alomari (2012) and a variant with double
internal nodes given by Liu and Park (2017).
On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
