The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Questions of uniform approximation of continuous functions of bounded variation on ℝn with the values in the Banach space are being studied by aggregates of summatory type constructed on the basis of the known function values at the nodes of a multidimensional rectangular mesh. The appraisal of accuracy is executed by means of the modulus of continuity.
The theorem of V.I. Zubov about the possibility of uniform approximation on the all real axis for an arbitrary continuous distribution function with using approaching aggregates built on the basis of the one fixed continuous distribution function is developed in a number of ways. A certain type of approaching aggregates is shown, the estimations for approximation error are given in terms of moduli...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.