By Sorin G. Gal

ISBN-10: 1461470978

ISBN-13: 9781461470977

ISBN-10: 1489997911

ISBN-13: 9781489997913

This monograph bargains with the quantitative overconvergence phenomenon in advanced approximation through quite a few operators. The publication is split into 3 chapters. First, the implications for the Schurer-Faber operator, Beta operators of first style, Bernstein-Durrmeyer-type operators and Lorentz operator are offered. the focus is on effects for numerous q-Bernstein form of operators with q > 1, whilst the geometric order of approximation 1/q^{n} is received not just in complicated compact disks but in addition in quaternion compact disks and in different compact subsets of the advanced aircraft. the point of interest then shifts to quantitative overconvergence and convolution overconvergence effects for the complicated potentials generated by way of the Beta and Gamma Euler's capabilities. eventually quantitative overconvergence effects for the main classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer types) connected to vector-valued capabilities are awarded. each one bankruptcy concludes with a notes and open difficulties part, therefore supplying stimulation for additional examine. an in depth bibliography and index entire the text.

This e-book is acceptable for researchers and graduate scholars operating in complicated approximation and its functions, mathematical research and numerical analysis.