Recent advances in constructive approximation theory

• 作者： Gupta, Vijay, author.
• 其他作者：
  • Rassias, Themistocles M., author.
  • Agrawal, P. N., author.
  • Acu, Ana Maria, author.
  • SpringerLink (Online service)
• 其他題名：
  • Springer optimization and its applications ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer optimization and its applications,volume 138
• 主題： Approximation theory. , Mathematical analysis. , Linear operators. , Mathematics. , Operator Theory. , Functions of a Complex Variable. , Several Complex Variables and Analytic Spaces. , Ordinary Differential Equations. , Partial Differential Equations. , Functional Analysis.
• ISBN： 9783319921655 (electronic bk.) 、 9783319921648 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 1. Moment Generating Functions and Central Moments -- 2.Quantitative Estimates -- 3.Basics of Post-Quantum Calculus -- 4. Integral Operators -- 5. Univariate Gruss and Ostrowski type inequalities for positive linear operators -- 6. Bivariate Gruss-type inequalities for positive linear operators -- 7. Estimates for the differences of positive linear operators -- 8. Bivariate operators of discrete and integral type -- 9. Convergence of GBS Operators.
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• 摘要註: 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. 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.
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