1,720,959 research outputs found

    General absolute summability factor theorems involving quasi-power-increasing sequences

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    In this paper a general theorem concerning the vertical bar A, delta vertical bar(k) summability methods has been proved, which generalizes two results of Sevli and Leindler [H. Sevli and L. Leindler, n the absolute summability factors of infinite series involving quasi-power-increasing sequences, Computers and Mathematics with Applications 57 (2009), 702-709]. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A, delta vertical bar(k), k >= 1, 0 <= delta < 1/k, by using quasi-power- increasing sequences. (C) 2009 Elsevier Ltd. All rights reserved

    Hyers-Ulam stability of an integro-differential equation

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    In this study, we will establish the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of an integro-differential equation.</p

    Stability of a nonlinear Volterra integro-differential equation via a fixed point approach

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    The object of the present paper is to examine the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of a nonlinear Volterra integro-differential equation by using the fixed point method. (C) 2016 All rights reserved

    Hyers-Ulam stability of Volterra integro-differential equations

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    In this paper, we will apply the fixed point method for proving the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of a nonlinear Volterra integrodifferentialequation.</p

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The 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

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    AN APPROXIMATION PROPERTY OF GAUSSIAN FUNCTIONS

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    Using the power series method, we solve the inhomogeneous linear first order differential equatio

    On the perturbation of Volterra integro-differential equations

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    In this work, we will prove that every solution of a perturbed Volterra integro-differential equation can be approximated by a solution of the Volterra integro-differential equation. (C) 2013 Elsevier Ltd. All rights reserved
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