Many chapters in this book provide a good sense of what writing to learn is and how it works. I will explain in this chapter how I use writing-to-learn techniques to help students to think through an idea more clearly. Two aspects of writing to learn are very important: it helps students to understand content better, and it shows them that writing is a process with various stages. When students...

Sharp Grüss-type inequalities for functions whose derivatives are of bounded variation (Lipschitzian or monotonic) are given. Applications in relation with the well-known Čebyšev, Grüss, Ostrowski and Lupaş inequalities are provided as well.

Let Z be the Rosenblatt process with the representation Z t = ∫ t

For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the union of Cassini ovals, and the Ostrowski’s set. Characterization is obtained for maps Φ on n×n matrices satisfying S(Φ(A)Φ(B)) = S(AB) for all matrices A and B.

In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces. Some results that employ the Ostrowski discrete inequality for vectors in normed linear spaces are also obtained.