منابع مشابه
The distributional Denjoy integral
Let f be a distribution (generalised function) on the real line. If there is a continuous function F with real limits at infinity such that F ′ = f (distributional derivative) then the distributional integral of f is defined as ∫ ∞ −∞ f = F (∞)−F (−∞). It is shown that this simple definition gives an integral that includes the Lebesgue and Henstock–Kurzweil integrals. The Alexiewicz norm leads ...
متن کاملC-saddle Method and Beukers’ Integral
We give good non-quadraticity measures for the values of logarithm at specific rational points by modifying Beukers’ double integral. The two-dimensional version of the saddle method, which we call C2-saddle method, is applied. 0. Introduction F. Beukers [1] has introduced the following double and triple integrals: ∫∫ S L(x)(1 − y) 1− xy dx dy and ∫∫∫ B L(x)L(y) 1− u(1− xy) du dx dy, (0.1) givi...
متن کاملPeriodic Integral Transforms and C * - Algebras
We construct canonical integral transforms, analogous to the Fourier transform, that have periods six and three. The existence of this transform is shown to arise naturally from the expectation that the Schwartz space on the real line, viewed as the Heisenberg module of Rieffel and Connes over the rotation C*-algebra, should extend to a module action over the crossed product of the latter by th...
متن کاملStrict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type
Many authors such as Amini-Harandi, Rezapour et al., Kadelburg et al., have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}, 1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version. In this paper, we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...
متن کاملPassage of the Limit through the Double Denjoy Integral
As is well-known, there exist various definitions of the double Denjoy integral (see [1,2,5]). Conditions for passage of limits through these integrals have not yet been studied. The object of this paper is to investigate the conditions for passage of the limit through the double Denjoy integral defined by V.G. Chelidze (see [7]). Here we shall use the well-known terms (see, for example, [8]). ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2007
ISSN: 1225-1763
DOI: 10.4134/ckms.2007.22.1.027