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The Resource Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman, edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser, (electronic resource)
Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman, edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser, (electronic resource)
Resource Information
The item Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman, edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman, edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems
 Language
 eng
 Extent
 XXXIV, 519 p. 24 illus., 14 illus. in color.
 Contents

 On the L2 Markov Inequality with Laguerre Weight
 MarkovType Inequalities for Products of Muntz Polynomials Revisited
 On BernsteinType Inequalities for the Polar Derivative of a Polynomial
 On Two Inequalities for Polynomials in the Unit Disk
 Inequalities for Integral Norms of Polynomials via Multipliers
 Some Rational Inequalities Inspired by Rahman’s Research
 On an Asymptotic Equality for Reproducing Kernels and Sums of Squares of Orthonormal Polynomials
 Two WalshType Theorems for the Solutions of MultiAffine Symmetric Polynomials
 Vector Inequalities for a Projection in Hilbert Spaces and Applications
 A HalfDiscrete HardyHilbertType Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function
 Quantum Integral Inequalities for Generalized Convex Functions
 Quantum integral inequalities for generalized preinvex functions
 On the Bohr inequality
 BernsteinType Polynomials on Several Intervals
 Best Approximation by Logarithmically Concave Classes of Functions
 Local approximation using Hermite functions
 Approximating the Riemann Zeta and Related Functions
 Overconvergence of Rational Approximants of Meromorphic Functions
 Approximation by BernsteinFaberWalsh and SzászMirakjanFaberWalsh Operators in Multiply Connected Compact Sets of C
 Summation Formulas of EulerMaclaurin and AbelPlana: Old and New Results and Applications
 A New Approach to Positivity and Monotonicity for the Trapezoidal Method and Related Quadrature Methods
 A Unified and General Framework for Enriching Finite Element Approximations
 Isbn
 9783319492421
 Label
 Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman
 Title
 Progress in Approximation Theory and Applicable Complex Analysis
 Title remainder
 In Memory of Q.I. Rahman
 Statement of responsibility
 edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser
 Subject

 Functions of a Complex Variable
 Approximation theory
 Numerical Analysis
 Approximations and Expansions
 Mathematical optimization
 Numerical analysis
 Information and Communication, Circuits
 Electronic resources
 Functions of complex variables
 Information theory
 Numerical analysis
 Mathematics
 Functions of complex variables
 Optimization
 Mathematics
 Information theory
 Numerical Analysis
 Mathematical optimization
 Approximation theory
 Language
 eng
 Summary
 Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems
 Image bit depth
 0
 LC call number
 QA402.5402.6
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Govil, N. K.
 Mohapatra, Ram.
 Qazi, Mohammed A.
 Schmeisser, Gerhard.
 SpringerLink
 Series statement
 Springer Optimization and Its Applications,
 Series volume
 117
 http://library.link/vocab/subjectName

 Mathematics
 Approximation theory
 Functions of complex variables
 Information theory
 Numerical analysis
 Mathematical optimization
 Mathematics
 Optimization
 Functions of a Complex Variable
 Approximations and Expansions
 Numerical Analysis
 Information and Communication, Circuits
 Label
 Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman, edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 On the L2 Markov Inequality with Laguerre Weight  MarkovType Inequalities for Products of Muntz Polynomials Revisited  On BernsteinType Inequalities for the Polar Derivative of a Polynomial  On Two Inequalities for Polynomials in the Unit Disk  Inequalities for Integral Norms of Polynomials via Multipliers  Some Rational Inequalities Inspired by Rahman’s Research  On an Asymptotic Equality for Reproducing Kernels and Sums of Squares of Orthonormal Polynomials  Two WalshType Theorems for the Solutions of MultiAffine Symmetric Polynomials  Vector Inequalities for a Projection in Hilbert Spaces and Applications  A HalfDiscrete HardyHilbertType Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function  Quantum Integral Inequalities for Generalized Convex Functions  Quantum integral inequalities for generalized preinvex functions  On the Bohr inequality  BernsteinType Polynomials on Several Intervals  Best Approximation by Logarithmically Concave Classes of Functions  Local approximation using Hermite functions  Approximating the Riemann Zeta and Related Functions  Overconvergence of Rational Approximants of Meromorphic Functions  Approximation by BernsteinFaberWalsh and SzászMirakjanFaberWalsh Operators in Multiply Connected Compact Sets of C  Summation Formulas of EulerMaclaurin and AbelPlana: Old and New Results and Applications  A New Approach to Positivity and Monotonicity for the Trapezoidal Method and Related Quadrature Methods  A Unified and General Framework for Enriching Finite Element Approximations
 Dimensions
 unknown
 Extent
 XXXIV, 519 p. 24 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319492421
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319492421
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319492421
 Label
 Progress in Approximation Theory and Applicable Complex Analysis : In Memory of Q.I. Rahman, edited by Narendra Kumar Govil, Ram Mohapatra, Mohammed A. Qazi, Gerhard Schmeisser, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 On the L2 Markov Inequality with Laguerre Weight  MarkovType Inequalities for Products of Muntz Polynomials Revisited  On BernsteinType Inequalities for the Polar Derivative of a Polynomial  On Two Inequalities for Polynomials in the Unit Disk  Inequalities for Integral Norms of Polynomials via Multipliers  Some Rational Inequalities Inspired by Rahman’s Research  On an Asymptotic Equality for Reproducing Kernels and Sums of Squares of Orthonormal Polynomials  Two WalshType Theorems for the Solutions of MultiAffine Symmetric Polynomials  Vector Inequalities for a Projection in Hilbert Spaces and Applications  A HalfDiscrete HardyHilbertType Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function  Quantum Integral Inequalities for Generalized Convex Functions  Quantum integral inequalities for generalized preinvex functions  On the Bohr inequality  BernsteinType Polynomials on Several Intervals  Best Approximation by Logarithmically Concave Classes of Functions  Local approximation using Hermite functions  Approximating the Riemann Zeta and Related Functions  Overconvergence of Rational Approximants of Meromorphic Functions  Approximation by BernsteinFaberWalsh and SzászMirakjanFaberWalsh Operators in Multiply Connected Compact Sets of C  Summation Formulas of EulerMaclaurin and AbelPlana: Old and New Results and Applications  A New Approach to Positivity and Monotonicity for the Trapezoidal Method and Related Quadrature Methods  A Unified and General Framework for Enriching Finite Element Approximations
 Dimensions
 unknown
 Extent
 XXXIV, 519 p. 24 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319492421
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319492421
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319492421
Subject
 Approximation theory
 Approximation theory
 Approximations and Expansions
 Electronic resources
 Functions of a Complex Variable
 Functions of complex variables
 Functions of complex variables
 Information and Communication, Circuits
 Information theory
 Information theory
 Mathematical optimization
 Mathematical optimization
 Mathematics
 Mathematics
 Numerical Analysis
 Numerical Analysis
 Numerical analysis
 Numerical analysis
 Optimization
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