{"title":"A Unified Approach for Solving Equations, Part I: On Inhnite-Dimensional Spaces","authors":"I. Argyros","doi":"10.1201/9781420036053.CH5","DOIUrl":"https://doi.org/10.1201/9781420036053.CH5","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114475397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Biorthogonal Local Trigonometric Bases","authors":"K. Bittner","doi":"10.1201/9781420036053.CH9","DOIUrl":"https://doi.org/10.1201/9781420036053.CH9","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116541311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Binomial-Type Coefficients And Classical Approximation Processes","authors":"M. Campiti","doi":"10.1201/9781420036053.CH21","DOIUrl":"https://doi.org/10.1201/9781420036053.CH21","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132476033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Roundoff Error Analysis for Fast Trigonometric Transforms","authors":"M. Tasche, H. Zeuner","doi":"10.1201/9781420036053.CH8","DOIUrl":"https://doi.org/10.1201/9781420036053.CH8","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125178130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Asset and Liability Management: Recent Advances","authors":"S. Rachev, Y. Tokat","doi":"10.1201/9781420036053.CH19","DOIUrl":"https://doi.org/10.1201/9781420036053.CH19","url":null,"abstract":"Institute of Statistics and Mathematical Economics, School of Economics, University of Karlsruhe, Kollegium am Schloss, Bau II, 20.12, R210, Postfach 6980, D-76128, Karlsruhe, Germany. E-mail: rachev@lsoe.uni-karlsruhe.de Abstract Asset and liability management is the simultaneous consideration of assets and liabilities in strategic investment planning. The asset and liability management models in the literature are reviewed with an emphasis on the recently developed approaches. In most of the recent models, the uncertainty is described by a representative set of scenarios. The validity of the Gaussian assumption in scenario generation is questioned, and stable Paretian distribution is suggested as an alternative hypothesis.","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114627302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Summation Kernels for Orthogonal Polynomial Systems","authors":"F. Filbir, R. Lasser, J. Obermaier","doi":"10.1201/9781420036053.CH15","DOIUrl":"https://doi.org/10.1201/9781420036053.CH15","url":null,"abstract":"The convergence of weighted Fourier expansions with respect to orthogonal polynomial systems fP n : n 2 N 0 g is studied in certain Banach spaces B L 1 (), where the support of the orthogonality measure is assumed to be innnite and compact. We focus on orthogonal polynomial systems which induce a hypergroup structure on N 0 and a convolution structure on supp. Especially the Dirichlet kernel, a Fej er-type kernel and the de la Vall ee-Poussin kernel are studied, where we stress the analogy to the trigonometric case.","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133047194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation Theory in Random Setting","authors":"S. Gal","doi":"10.1201/9781420036053.CH12","DOIUrl":"https://doi.org/10.1201/9781420036053.CH12","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"2012 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127380155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Degree of Approximation of Order Statistics Functionals, Dependent Case","authors":"G. Anastassiou","doi":"10.1201/9781420036053.CH1","DOIUrl":"https://doi.org/10.1201/9781420036053.CH1","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123948158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation Theory in Fuzzy Setting","authors":"S. Gal","doi":"10.1201/9781420036053.CH13","DOIUrl":"https://doi.org/10.1201/9781420036053.CH13","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124470262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Regularization and Stabilization of Inverse Problems","authors":"C. Groetsch","doi":"10.1201/9781420036053.CH2","DOIUrl":"https://doi.org/10.1201/9781420036053.CH2","url":null,"abstract":"","PeriodicalId":139586,"journal":{"name":"Handbook of Analytic-Computational Methods in Applied Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121398418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}