LEADER 02831nam 2200517Ia 450 001 9910437873303321 005 20200520144314.0 010 $a1-4614-6946-5 024 7 $a10.1007/978-1-4614-6946-9 035 $a(OCoLC)843759436 035 $a(MiFhGG)GVRL6VDL 035 $a(CKB)2670000000370328 035 $a(MiAaPQ)EBC1316868 035 $a(EXLCZ)992670000000370328 100 $a20130523d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aApplications of Q-calculus in operator theory /$fAli Aral, Vijay Gupta, Ravi P. Agarwal 205 $a1st ed. 2013. 210 $aNew York $cSpringer$dc2013 215 $a1 online resource (xii, 262 pages) 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a1-4899-9625-7 311 $a1-4614-6945-7 320 $aIncludes bibliographical references and index. 327 $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. 330 $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. 606 $aCalculus 606 $aIntegral operators 615 0$aCalculus. 615 0$aIntegral operators. 676 $a515.724 700 $aAral$b Ali$01063400 701 $aGupta$b Vijay$0721656 701 $aAgarwal$b Ravi P$041786 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437873303321 996 $aApplications of Q-calculus in operator theory$94186576 997 $aUNINA