## Approximation with Positive Linear Operators and Linear Combinations

### Approximation with Positive Linear Operators and Linear Combinations

フォーマット:

by Vijay Gupta, Gancho Tachev

Cham, Germany. 2017-. Springer International Publishing,Imprint: Springer
シリーズ:
Developments in Mathematics; 50

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development. . 続きを見る

 1. Moments and Linear Combinations of Positive Linear Operators 2. Direct Estimates for Approximation by Linear Combinations 3. Inverse Estimates and Saturation Results for Linear Combinations 4. Voronovskaja Type Estimates 5. Pointwise Estimates for Linear Combinations 6. Voronovskaja's Theorem in Terms of Weighted Modulus of Continuity 7. Direct Estimates for Some New Operators 8. Convergence for Operators Based on Pǎltǎanea Basis Bibliography Index. .
 1. Moments and Linear Combinations of Positive Linear Operators 2. Direct Estimates for Approximation by Linear Combinations 3. Inverse Estimates and Saturation Results for Linear Combinations 4. Voronovskaja Type Estimates 5. Pointwise Estimates for Linear Combinations 6. Voronovskaja's Theorem in Terms of Weighted Modulus of Continuity

### 類似資料:

 1 Approximation Theory XV: San Antonio 2016 by Fasshauer, Gregory E; Schumaker, Larry L; SpringerLink 7 Modern Mathematical Methods and High Performance Computing in Science and Technology : M3HPCST, Ghaziabad, India, December 2015 by Singh, Vinai K; Srivastava, H.M; Venturino, Ezio; Resch, Michael; Gupta, Vijay; SpringerLink 2 Sparse Approximation with Bases by Temlyakov, Vladimir; Tikhonov, Sergey; SpringerLink 8 Approximation by Max-Product Type Operators by Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G; SpringerLink 3 Approximation Theory, Wavelets and Applications by Singh, S. P; SpringerLink 9 Bernstein Operators and Their Properties by Bustamante, Jorge; SpringerLink 4 Fourier Analysis and Approximation of Functions by Trigub, Roald M; Bellinsky, Eduard S; SpringerLink 10 Approximation and Computation: A Festschrift in Honor of Walter Gautschi : Proceedings of the Purdue Conference, December 2-5, 1993 by Zahar, R. V. M; SpringerLink 5 Analysis on h-Harmonics and Dunkl Transforms by Dai, Feng; Xu, Yuan; Tikhonov, Sergey; SpringerLink 11 Equations Involving Malliavin Calculus Operators : Applications and Numerical Approximation by Levajković, Tijana; Mena, Hermann; SpringerLink 6 Spherical Radial Basis Functions, Theory and Applications by Hubbert, Simon; Lê Gia, Quôc Thông; Morton, Tanya M; SpringerLink 12 Introduction to Calculus and Classical Analysis by Hijab, Omar; SpringerLink
 1. Approximation Theory XV: San Antonio 2016 by Fasshauer, Gregory E; Schumaker, Larry L; SpringerLink 2. Sparse Approximation with Bases by Temlyakov, Vladimir; Tikhonov, Sergey; SpringerLink 3. Approximation Theory, Wavelets and Applications by Singh, S. P; SpringerLink 4. Fourier Analysis and Approximation of Functions by Trigub, Roald M; Bellinsky, Eduard S; SpringerLink 5. Analysis on h-Harmonics and Dunkl Transforms by Dai, Feng; Xu, Yuan; Tikhonov, Sergey; SpringerLink 6. Spherical Radial Basis Functions, Theory and Applications by Hubbert, Simon; Lê Gia, Quôc Thông; Morton, Tanya M; SpringerLink 7. Modern Mathematical Methods and High Performance Computing in Science and Technology : M3HPCST, Ghaziabad, India, December 2015 by Singh, Vinai K; Srivastava, H.M; Venturino, Ezio; Resch, Michael; Gupta, Vijay; SpringerLink 8. Approximation by Max-Product Type Operators by Bede, Barnabás; Coroianu, Lucian; Gal, Sorin G; SpringerLink 9. Bernstein Operators and Their Properties by Bustamante, Jorge; SpringerLink 10. Approximation and Computation: A Festschrift in Honor of Walter Gautschi : Proceedings of the Purdue Conference, December 2-5, 1993 by Zahar, R. V. M; SpringerLink 11. Equations Involving Malliavin Calculus Operators : Applications and Numerical Approximation by Levajković, Tijana; Mena, Hermann; SpringerLink 12. Introduction to Calculus and Classical Analysis by Hijab, Omar; SpringerLink