000			02982nam a22004815i 4500
001			978-1-4614-6946-9
003			DE-He213
005			20160302170809.0
007			cr nn 008mamaa
008			130509s2013 xxu| s |||| 0|eng d
020			_a9781461469469 _9978-1-4614-6946-9
024	7		_a10.1007/978-1-4614-6946-9 _2doi
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
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
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	_aApproximation theory.
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			_c197508 _d197508