<電子ブック>
Advances in Summability and Approximation Theory / edited by S. A. Mohiuddine, Tuncer Acar
版 | 1st ed. 2018. |
---|---|
出版者 | Singapore : Springer Nature Singapore : Imprint: Springer |
出版年 | 2018 |
本文言語 | 英語 |
大きさ | XIII, 241 p. 10 illus., 9 illus. in color : online resource |
著者標目 | Mohiuddine, S. A editor Acar, Tuncer editor SpringerLink (Online service) |
件 名 | LCSH:Sequences (Mathematics) LCSH:Approximation theory LCSH:Functional analysis FREE:Sequences, Series, Summability FREE:Approximations and Expansions FREE:Functional Analysis |
一般注記 | Chapter 1. A Survey for Paranormed Sequence Spaces Generated by Infinite Matrices -- Chapter 2. Tauberian Conditions under which Convergence Follows from Statistical Summability by Weighted Means -- Chapter 3. Applications of Fixed Point Theorems and General Convergence in Orthogonal Metric Spaces -- Chapter 4. Application of Measure of Noncompactness to the Infinite Systems of Second-Order Differential Equations in Banach Sequence Spaces c, lp and c0β -- Chapter 5. Infinite Systems of Differential Equations in Banach Spaces Constructed by Fibonacci Numbers -- Chapter 6. Convergence Properties of Genuine Bernstein-Durrmeyer Operators -- Chapter 7. Bivariate Szasz Type Operators Based on Multiple Appell Polynomials -- Chapter 8. Approximation Properties of Chlodowsky Variant of (P, Q) SzAsz–Mirakyan–Stancu Operators -- Chapter 9. Approximation Theorems for Positive Linear Operators Associatedwith Hermite and Laguerre Polynomials -- Chapter 10. On Generalized Picard Integral Operators -- Chapter 11. From Uniform to Statistical Convergence of Binomial-Type Operators -- Chapter 12. Weighted Statistically Uniform Convergence of Bögel Continuous Functions by Positive Linear Operators -- Chapter 13. Optimal Linear Approximation under General Statistical Convergence -- Chapter 14. Statistical Deferred Cesaro Summability Mean Based on (p, q)-Integers with Application to Approximation Theorems -- Chapter 15. Approximation Results for an Urysohn-type Nonlinear Bernstein Operators This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide range of mathematicians whose research areas include summability and approximation theory. One of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences, and it has been used in Fourier analysis, probability theory, approximation theory and inother branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators, Bernstein polynomials play a highly significant role due to their simple and useful structure. And, during the last few decades, different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation HTTP:URL=https://doi.org/10.1007/978-981-13-3077-3 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9789811330773 |
|
電子リソース |
|
EB00237094 |
類似資料
この資料の利用統計
このページへのアクセス回数:7回
※2017年9月4日以降