Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.
The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.
Many scholars have recently shown great interest in a diachronic re-examination of Antonio Gramsci’s main theoretical-political categories in the Prison Notebooks. This method would uncover the origins and development of Gramsci’s concepts using the same method that Gramsci himself believed would allow us to grasp ‘the rhythm of thought’ in Marx. The present work embraces this perspective and puts it to work in two ways. Its first part analyzes the relation between structure and superstructure and the concepts of hegemony and the regulated society. Its second part extends the diachronic analysis to the conceptual pairings which represent alternatives to structure-superstructure, encompassing questions of political and cultural organisation as well as the relation between Gramsci and the major proponents of historical materialism (Marx, Engels, Lenin). English translation of Il ritmo del pensiero: per una lettura diacronica dei «Quaderni del carcere» di Gramsci published by Bibliopolis, Naples (2011).
Dietro i magnifici film che trasformarono una nazione uscita a pezzi dalla guerra in centro propulsivo dell’immaginario mondiale si celano incredibili vicende di vita vissuta, sospese tra squallore e magnificenza. Grandi registi, produttori megalomani, attrici viziose e comici nazionalpopolari in possesso di inconfessabili segreti. La grazia demoniaca di Tina Aumont, Alighiero Noschese reclutato dalla P2, la bravura patologica di Gian Maria Volonté, Gualtiero Jacopetti e l’Fbi, il titanico Salvo Randone ridotto in miseria, Tognazzi che offre la propria visceralità alle eresie di Marco Ferreri... esistenze trasversali, che somigliano a sceneggiature non ancora girate. Mentre l’immaginifico Fellini condivideva il teatro 5 di Cinecittà con l’iconoclasta Carmelo Bene, Elio Petri conquistava l’Oscar per Indagine su un cittadino al di sopra di ogni sospetto.Hollywood sul Tevere racconta la vitalità, la bellezza, l’abiezione, la follia e la grazia di un mondo forse perduto per sempre.
Si percepisce fin dalle prime pagine il profondo intimismo di Senza Fine. Un romanzo che non è romanzo, fatto di liriche, saggi, brani. Una storia intricata costruita secondo il principio del flusso di coscienza. Immagini. Pensieri. Il grande legame che lega Govinda a Siddhartha. Gli amici, le feste a base di yagé, le tragedie, l‘obiettivo di diventare un bodhisattva, le esperienze extracorporee grazie all‘autoipnosi, l’Islanda. Senza Fine è simile a un mandala, fragile, dai mille significati. L‘opera possiede un’accurata inventiva stilistica e un linguaggio anticonformista che unisce le caratteristiche tipiche del Bildungsroman più mistico a quelle della narrativa «on the road» in cui le avventure e le oscenità sono elementi cardini del racconto.
Derived from the renowned multi-volume International Encyclopaedia of Laws, this practical analysis of sports law in Italy deals with the regulation of sports activity by both public authorities and private sports organizations. The growing internationalization of sports inevitably increases the weight of global regulation, yet each country maintains its own distinct regime of sports law and its own national and local sports organizations. Sports law at a national or organizational level thus gains a growing relevance in comparative law. The book describes and discusses both state-created rules and autonomous self-regulation regarding the variety of economic, social, commercial, cultural, and political aspects of sports activities. Self-regulation manifests itself in the form of by-laws, and encompasses organizational provisions, disciplinary rules, and rules of play. However, the trend towards more professionalism in sports and the growing economic, social and cultural relevance of sports have prompted an increasing reliance on legal rules adopted by public authorities. This form of regulation appears in a variety of legal areas, including criminal law, labour law, commercial law, tax law, competition law, and tort law, and may vary following a particular type or sector of sport. It is in this dual and overlapping context that such much-publicized aspects as doping, sponsoring and media, and responsibility for injuries are legally measured. This monograph fills a gap in the legal literature by giving academics, practitioners, sports organizations, and policy makers access to sports law at this specific level. Lawyers representing parties with interests in Italy will welcome this very useful guide, and academics and researchers will appreciate its value in the study of comparative sports law.
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