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Recent Advances in Constructive Approximation Theory


Recent Advances in Constructive Approximation Theory


Springer Optimization and Its Applications, Band 138

von: Vijay Gupta, Themistocles M. Rassias, P. N. Agrawal, Ana Maria Acu

85,59 €

Verlag: Springer
Format: PDF
Veröffentl.: 06.07.2018
ISBN/EAN: 9783319921655
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p></p><p>This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. </p><p> </p>Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators.<p></p><p>&nbsp;</p><p></p>
<div><p>1.&nbsp;Moment Generating Functions and Central Moments.- 2.Quantitative Estimates.- 3.Basics of Post-Quantum Calculus.- 4.&nbsp;Integral Operators.- 5.&nbsp;Univariate Grüss and Ostrowski type inequalities for positive linear operators.- 6.&nbsp;Bivariate Grüss-type inequalities for positive linear operators.- 7.&nbsp;Estimates for the differences of positive linear operators.- 8.&nbsp;Bivariate operators of discrete and integral type.- 9.&nbsp;Convergence of GBS Operators.</p><b></b></div>
<p></p><p>This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. </p>

Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type convergence of GBS operators. <p></p><br><p></p><p><br></p>
Surveys current theories, methods, and applications in constructive approximation Features applications to optimization, physics, and biology Extends results of linear positive operators in a post quantum and bivariate setting

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