Advances in Summability and Approximation Theory

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...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Singapore : Springer Singapore , 2018.
Vydání:1st ed. 2018.
Témata:
Sequences (Mathematics).
Approximation theory.
Functional analysis.
ISBN:9789811330773
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Obsah:
  • 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.

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