Advances in Summability and Approximation Theory

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Mohiuddine, S. A. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Acar, Tuncer (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Θέματα: Sequences (Mathematics).; Approximation theory.; Functional analysis.; Sequences, Series, Summability.; Approximations and Expansions.; Functional Analysis.

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...

Πίνακας περιεχομένων:

• 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 Associated with 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.