03511nam a22005175i 4500 978-1-4614-6946-9 DE-He213 20210623022524.0 cr nn 008mamaa 130509s2013 xxu| s |||| 0|eng d 9781461469469 978-1-4614-6946-9 10.1007/978-1-4614-6946-9 doi QA401-425 PBKJ bicssc MAT034000 bisacsh PBKJ thema 511.4 23 Aral, Ali. author. aut http://id.loc.gov/vocabulary/relators/aut Applications of q-Calculus in Operator Theory [electronic resource] / by Ali Aral, Vijay Gupta, Ravi P. Agarwal. 1st ed. 2013. New York, NY : Springer New York : Imprint: Springer, 2013. XII, 262 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. 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. Approximation theory. Functions of complex variables. Functional analysis. Approximations and Expansions. https://scigraph.springernature.com/ontologies/product-market-codes/M12023 Functions of a Complex Variable. https://scigraph.springernature.com/ontologies/product-market-codes/M12074 Functional Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M12066 Gupta, Vijay. author. aut http://id.loc.gov/vocabulary/relators/aut Agarwal, Ravi P. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) Springer Nature eBook Printed edition: 9781461469476 Printed edition: 9781489996251 Printed edition: 9781461469452 https://doi.org/10.1007/978-1-4614-6946-9 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)