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.
The purpose of this talk is to demonstrate how useful is the linear approximation [formula] for the easy solution of the problem of conversion of mass to energy. The importance of approximations stems from the fact that so many of the functions we deal with in science and engineering are too complicate. On the other hand, in these cases we can sometimes approximate such functions with simpler ones...
Some generalizations of the classical integral means are characterized. Such type characterizations are obtained by requiring that the corresponding integral operator preserves given function classes.
Periodic B-spline functions have got many useful properties. Especially it is the property of its Fourier coefficients. In this article it is introduced and proved a similar property of Fourier coefficients of spline wavelets.
In the presented paper we study some properties of preponderantly continuous functions and functions satisfying the property A1. For any family F of real-valued functions we define MAXF= {g: max{f,g} ∈ F for all f ∈ F} and MINF= {g: min{f,g} ∈ F for all f ∈ F}. The aim of the paper is to find MINFfor two discussed classes of functions.
We show that the one-sided regularizations of the generator of any uniformly continuous set-valued Nemytskij operator, acting between the spaces of functions of bounded variation in the sense of Schramm, is an affine function. Results along these lines extend the study [1].
In this paper we present the results of research which was conducted in years 2006/2007 and 2007/2008 on groups of students of Pedagogical University of Cracow. The results are related with the role of the computer in the process of solving the tasks on the functions with parameter, discovering some properties of functions, formulating statements describing observed regularity and finding the method...
In this paper we consider the Poisson integrals of functions of two variables for Hermite and Laguerre expansions in the spaces [wzór] and [wzór], respectively. We state some estimates of the rate of convergence of the Poisson integrals.
Let (G, +) be a uniquely 2-divisible Abelian group. In the present paper we will consider the solutions of functional equation [f(x + y)]2 - [f(x - y)]2 + f(2x + 2y) + f(2x - 2y) = f(2x)[f(2y) + 2g(2y)], x,y ϵ G, where f and g are complex-valued functions defined on G.
In the present paper we deal with the Dhombres-type trigonometric difference f(x + y 2 )2 – f(x − y 2)2 + f(x + y) + f(x − y) − f(x) [f(y) + g(y)], assuming that its absolute value is majorized by some constant. Our aim is to find functions and which satisfy the Dhombres-type trigonometric functional equation and for which the differences f - f and g - g are uniformly bounded.
Let S be an integral domain of positive characteristic p, which is not a field, S∗ the unit group of S, G a finite group, and SλG the twisted group algebra of the group G over S with a 2-cocycle λ ∈ Z2(G,S∗). Denote by Indm(SλG) the set of isomorphism classes of indecomposable SλGmodules of S-rank m. We exhibit algebras SλG of SUR-type, in the sense that there exists a function fλ : N → N such that...
The concept of strong convergence of functions and multifunctions was introduced by I. Kupka, V. Toma and A. Sochaczewska. In this paper we consider new definitions of convergence for the nets of multifunctions – upper and lower strong quasi-uniform convergence.
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.