Inequalities are obtained using P0-simple functionals. Applications to Lipschitzian mappings are given.

Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type present their corresponding proofs. The presented proofs are based on applying the celebrated Hayashi inequality certain functions. We provide examples that show these improvements. Illustrations obtained results stated in a probability framework.

In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values alpha. Some its properties are explored, relationship between is provided. As an application, establish some weighted Ostrowski type inequalities through new integral. These expand known in monographs ...

We prove Ostrowski inequalities (regular and weighted cases) on time scales and thus unify and extend corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.

Some Ostrowski’s type inequalities for the Riemann-Stieltjes integral R b a f eit du (t) of continuous complex valued integrands f : C (0; 1)! C de…ned on the complex unit circle C (0; 1) and various subclasses of integrators u : [a; b] [0; 2 ] ! C of bounded variation are given. Natural applications for functions of unitary operators in Hilbert spaces are provided as well. 1. Introduction The ...

In this paper we present a historical review of the investigation of two Ostrowski inequalities and describe several distinct streams for their generalizations. Also we point out some new methods to obtain known results and give a number of new results related to Ostrowski’s inequalities.

In this paper we present sharp estimates for the difference of general integral means with respect to even different finite measures. This is achieved by the use of the Ostrowski and Fink inequalities and the Geometric Moment Theory Method. The produced inequalities are with respect to the supnorm of a derivative of the involved function.