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Applications of q-Calculus in Operator Theory
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Catalogue Information
Field name
Details
Dewey Class
511.4
Title
Applications of q-Calculus in Operator Theory ([Ebook]) / by Ali Aral, Vijay Gupta, Ravi P Agarwal.
Author
Aral, Ali
Added Personal Name
Gupta, Vijay
Agarwal, Ravi P.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer
, 2013.
Physical Details
XII, 262 pages : online resource.
ISBN
9781461469469
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4614-6946-9
Links to Related Works
Subject References:
Approximations and Expansions
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Functional Analysis
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Functions of a Complex Variable
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Functions of complex variables
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Mathematics
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Authors:
Agarwal, Ravi P.
.
Aral, Ali
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author
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Gupta, Vijay
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Corporate Authors:
SpringerLink (Online service)
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Classification:
511.4
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511.4 (DDC 23)
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