186,754 research outputs found
Integration by parts for the Lr Henstock-Kurzweil integral
No full textMusial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula
The Lr-Variational Integral
No full textWe define the Lr-variational integral and we prove that it is equivalent to the HKr-integral defined in 2004 by P. Musial and Y.
Sagher in the Studia Mathematica paper The Lr-Henstock–Kurzweil integral. We prove also the continuity of Lr-variation function
A new descriptive characterization of the HKr-integral and its inclusion in Burkill's integrals
No full textWe introduce a new class of functions, ACGr⁎, and compare it to the class of ACGr-functions which had been previously introduced by Musial and Sagher to characterize their Henstock–Kurzweil-type integral, the HKr-integral. We show that these two classes coincide and thereby we obtain a new descriptive characterization of the class of HKr-integrable functions. We then compare the HKr-integral with Burkill's CP-integral and obtain a de la Vallée Poussin-type theorem for the HKr-integral
Dual of the Class of HKr Integrable Functions
No full textWe define for 1 <= r < infinity a norm for the class of functions which are Henstock-Kurzweil integrable in the L-r sense. We then establish that the dual in this norm is isometrically isomorphic to L-r' and is therefore a Banach space, and in the case r = 2, a Hilbert space. Finally, we give results pertaining to convergence and weak convergence in this space
Sowjetische Partisanen, 1941-1944Bogdan MUSIAL
No full textBogdan MUSIAL, Sowjetische Partisanen, 1941-1944, Mythos und Wirklichkeit, Paderborn : Ferdinand Schöningh, 2009, 592 p. Après avoir publié un recueil de documents sur les partisans en Biélorussie, Bogdan Musial se donne ici comme objectif d’apporter un éclairage neuf sur le mouvement partisan soviétique en Biélorussie, dans le but déclaré de casser le mythe soviétique d’une « guerre de tout le peuple sous la direction du parti communiste ». S’appuyant sur un corpus très riche d’archives alle..
On Descriptive Characterizations of an Integral Recovering a Function from Its -Derivative
No full textThe notion of Lr-variational measure generated by a function F ∈ Lr[a, b] is introduced and, in terms of absolute continuity of this measure, a descriptive characterization of the HKr -integral recovering a function from its Lr-derivative is given. It is shown that the class of functions generating absolutely continuous Lr-variational measure coincides with the class of ACGr -functions which was introduced earlier, and that both classes coincide with the class of the indefinite HKr-integrals under the assumption of Lr-differentiability almost everywhere of the functions consisting these classe
THE HKr-INTEGRAL IS NOT CONTAINED IN THE Pr-INTEGRAL
No full textWe compare a Perron-type integral with a Henstock-Kurzweiltype integral, both having been introduced to recover functions from their generalized derivatives defined in the metric Lr. We give an example of an HKr-integrable function which is not Pr-integrable, thereby showing that the first integral is strictly wider than the second one
Author-wise bibliometric analysis based on entropy.
No full textAuthor-wise bibliometric analysis based on entropy.</p
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Antiphospholipid and Antinuclear Antibodies in Young Patients after Myocardial Revascularization Procedures
No full textBackground; The role of autoimmune factors in the etiology of coronary artery disease (CAD) was suggested in numerous studies but has not been definitively determined.Objectives: To assess the possible influence of antiphospholipid and antinuclear antibodies on atherosclerosis development in young patients after myocardial revascularization procedures.Methods: The study group included 39 patients younger than 45 years with CAD who underwent myocardial revascularization. Serum levels of antiphospholipid (aPL), antinuclear (ANA) and antineutrophil cytoplasmatic (ANCA) antibodies were tested within 1 month after the procedure.Results: All three types of aPL were significantly higher in CAD patients when compared to healthy controls: anti-beta 2-glycoprotein I (a beta 2GPI), both immunoglobulin (Ig)G and IgM classes (median 4.10 SGU, range 3.45-21.63 vs. 0.76, 0.12-6.01, P < 0.001, and 2.82 SGU, 1.44-11.70 vs. 1.08, 0.44-3.64, P < 0.001, respectively); anticardiolipin antibodies (aCL) both IgG and IgM classes (3.13 GPL, 1.32-14.03 vs. 2.42, 0.96-18.45, P = 0.0037, and 6.94 MPL, 1.90-26.40 vs. 4.32, 1.9-28.73, P < 0.008, respectively); and lupus anticoagulant (LA) (27.7% vs. 0%, P = 0.005). ANA were elevated in one patient and ANCA in 23 (60%). The levels of aPL did not correlate with the presence of a clot in a coronary vessel detected during angiography or with exacerbation of coronary artery atherosclerosis.Conclusions: In young patients with CAD who underwent myocardial revascularization the levels of aPL were significantly higher than in young healthy subjects. Thus, besides the classic risk factors for CAD, autoimmunity may play an important role in atherosclerotic plaque formation and progression
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