in this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, obtained a generalization Ostrowski Besides, derived some new inequalities related to these

In this paper, we prove some new Ostrowski-type integral inequalities for q-differentiable bounded functions. It is also shown that the results presented in paper are a generalization of know literarure. Applications to special means discussed.

We give axiomatizations and prove quantifier elimination theorems for first-order theories of unramified valued fields with an automorphism having a close interaction with the valuation. We achieve an analogue of the classical Ostrowski theory of pseudoconvergence. In the outstanding case of Witt vectors with their Frobenius map, we use the ∂-ring formalism from Joyal.

We establish Ostrowski type integral inequalities involving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we discuss applications of these bounds to the Euler’s beta mappings and illustrate their behaviour. c © 2005 Elsevier Science Ltd. All rights reserved. Keywords—Ostrowski’s inequality, Grüss inequal...