Ostrowski type and Brauer type theorems are derived for the left eigenvalues of quaternionic matrix. We see that the above theorems for the left eigenvalues are also true for the case of right eigenvalues, when the diagonals of quaternionic matrix are real. Some distribution theorems are given in terms of ovals of Cassini that are sharper than the Ostrowski type theorems, respectively, for the ...

In this paper some new Ostrowski type inequalities for co-ordinated s-convex functions in the second sense are obtained.

In this paper, we generalize Ostrowski’s inequality and Montgomery’s identity on arbitrary time scales which were given in a recent paper [J. Inequal. Pure. Appl. Math., 9(1) (2008), Art. 6] by Bohner and Matthews. Some examples for the continuous, discrete and the quantum calculus cases are given as well.

We use two parameters for functions whose second (q, ?)-derivatives are bounded in order to prove several recent extensions of the Ostrowski inequality and its companion inequalities on ?)-Hahn difference operator. Furthermore, we procure some q-integral continuous as special cases main results well these generalizations. Symmetry plays an essential role determining correct methods solve dynami...