| 000 | 02925nam a22004695i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-6946-9 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082827.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130509s2013 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461469469 _9978-1-4614-6946-9 |
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| 024 | 7 |
_a10.1007/978-1-4614-6946-9 _2doi |
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| 050 | 4 | _aQA401-425 | |
| 072 | 7 |
_aPBKJ _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a511.4 _223 |
| 100 | 1 |
_aAral, Ali. _eauthor. |
|
| 245 | 1 | 0 |
_aApplications of q-Calculus in Operator Theory _h[electronic resource] / _cby Ali Aral, Vijay Gupta, Ravi P Agarwal. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
|
| 300 |
_aXII, 262 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aIntroduction 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. | |
| 520 | _aThe 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 0 | _aFunctions of complex variables. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aApproximations and Expansions. |
| 650 | 2 | 4 | _aFunctions of a Complex Variable. |
| 650 | 2 | 4 | _aFunctional Analysis. |
| 700 | 1 |
_aGupta, Vijay. _eauthor. |
|
| 700 | 1 |
_aAgarwal, Ravi P. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461469452 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-6946-9 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c95802 _d95802 |
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