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Applications of q-calculus in operator theory / / Ali Aral, Vijay Gupta, Ravi P. Agarwal



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Autore: Aral Ali Visualizza persona
Titolo: Applications of q-calculus in operator theory / / Ali Aral, Vijay Gupta, Ravi P. Agarwal Visualizza cluster
Pubblicazione: New York : , : Springer, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (xii, 262 pages)
Disciplina: 515.724
Soggetto topico: Calculus
Operator theory
Persona (resp. second.): GuptaVijay
AgarwalRavi P.
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Introduction of q-calculus -- q-Discrete operators and their results -- q-Integral operators -- q-Bernstein type integral operators -- q-Summation-integral operators -- Statistical convergence of q-operators -- q-Complex operators.
Sommario/riassunto: The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics.  This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.
Titolo autorizzato: Applications of q-Calculus in Operator Theory  Visualizza cluster
ISBN: 1-4614-6946-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910437873303321
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