The Resource Advances in Summability and Approximation Theory, edited by S. A. Mohiuddine, Tuncer Acar, (electronic resource)
Advances in Summability and Approximation Theory, edited by S. A. Mohiuddine, Tuncer Acar, (electronic resource)
Resource Information
The item Advances in Summability and Approximation Theory, edited by S. A. Mohiuddine, Tuncer Acar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Advances in Summability and Approximation Theory, edited by S. A. Mohiuddine, Tuncer Acar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohntype 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 postquantum 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 in other 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.
 Language
 eng
 Extent
 1 online resource (XIII, 241 pages)
 Contents

 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 SecondOrder 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 BernsteinDurrmeyer 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 BinomialType 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 Urysohntype Nonlinear Bernstein Operators
 Isbn
 9789811330773
 Label
 Advances in Summability and Approximation Theory
 Title
 Advances in Summability and Approximation Theory
 Statement of responsibility
 edited by S. A. Mohiuddine, Tuncer Acar
 Language
 eng
 Summary
 This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohntype 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 postquantum 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 in other 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.
 Assigning source
 Provided by publisher
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Acar, Tuncer
 Mohiuddine, S. A
 Series statement

 Springer eBooks
 Springer eBooks.
 http://library.link/vocab/subjectName

 Functional analysis
 Mathematics
 Sequences (Mathematics)
 Label
 Advances in Summability and Approximation Theory, edited by S. A. Mohiuddine, Tuncer Acar, (electronic resource)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 SecondOrder 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 BernsteinDurrmeyer 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 BinomialType 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 Urysohntype Nonlinear Bernstein Operators
 Control code
 9789811330773
 Dimensions
 unknown
 Extent
 1 online resource (XIII, 241 pages)
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9789811330773
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 10 illustrations, 9 illustrations in color.
 Specific material designation
 remote
 System control number
 (OCoLC)1081000232
 Label
 Advances in Summability and Approximation Theory, edited by S. A. Mohiuddine, Tuncer Acar, (electronic resource)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 SecondOrder 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 BernsteinDurrmeyer 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 BinomialType 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 Urysohntype Nonlinear Bernstein Operators
 Control code
 9789811330773
 Dimensions
 unknown
 Extent
 1 online resource (XIII, 241 pages)
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9789811330773
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 10 illustrations, 9 illustrations in color.
 Specific material designation
 remote
 System control number
 (OCoLC)1081000232
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