1,720,958 research outputs found
Convergence and data dependence results of the nonlinear Volterra integral equation by the Picard's three step iteration
No full textPicard's three step iteration algorithm was one of the iteration algorithms that was recently shown to be faster than some other iterative algorithms in the existing literature. The purpose of this paper was to study using this iteration algorithm for the solution of nonlinear Volterra integral equations. It was investigated that the sequences obtained from this iteration algorithm converged to the solution of nonlinear Volterra integral equations. Moreover, data dependence was obtained for nonlinear Volterra integral equations. An example was given that confirmed the applicability of the newly proven theorems. © 2024 the Author(s), licensee AIMS Press
New weyl-type inequalities by multiplicative injective and surjective s-numbers of operators in reflexive banach spaces
No full textIn this work, two problems are investigated. In general. Weyl-type inequalities of operators in complex reflexive Banach spaces are discussed. Fir st, w'e obtained the Weyl-type inequalities using arbitrary multiplicative surjective and injective s-numbers that are dual of each other. Second, w'e introduced the Weyl-type inequalities by multiplicative injective and surjective s- numbers under certain conditions for S and S' operators hi complex reflexive Banach space. So. new Weyl-type inequalities are investigated for both dual s-number sequences and dual operators. © 2022, Adiyaman University. All rights reserved
Solutions of linear Fredholm integral equations with the three-step iteration method
No full textIn this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three -step iteration algorithm. It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Morever, data dependency is obtained for the second type of nonhomogeneous linear Fredholm integral equations. This result is supported by an example00119491570000
Convergence on Kirk Iteration of Cesàro Means for Asymptotically Nonexpansive Mappings
No full textThis article addresses the convergence of iteration sequences in Cesàro means for asymptotically nonexpansive mappings. Specifically, this study explores the behavior of Kirk iteration in the Cesàro means in the context of uniformly convex and reflexive Banach spaces equipped with uniformly Gâteaux differentiable norms. The focus is to determine the conditions under which the Kirk iteration sequence converges strongly or weakly to a fixed point. Finally, some examples are given in this article to demonstrate the advantages of the preferred iteration method and to verify the results obtained
Weyl type inequalities of operators in Banach spaces
No full textYÖK Tez No: 687407Bu tez çalışmasında Banach uzaylardaki lineer sınırlı operatörlerin Weyl tipi eşitsizlikleri üzerine çalışılmıştır. Birinci bölümde gerekli temel kavramlar verilerek, ikinci bölümde s-sayılarının aksiyomatik yapısı aktarılmıştır. Üçüncü bölümde ise Weyl tipi eşitsizlikler hakkında genel bir araştırma yapılmıştır. Böylece bir bütün olarak s-sayılarının aksiyomatik teorisi sunulacaktır.In this thesis, Weyl type inequalities of linear bounded operators in Banach spaces have been studied. In the first chapter, the necessary basic concepts are given, and in the second chapter, the axiomatic structure of s-numbers is given. In the third part, a general research has been done on Weyl type inequalities. Thus, the axiomatic theory of s-numbers as a whole will be presented
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe 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
Full text link“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
Full text linkWe 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
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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