The Resource Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory, edited by Panos M. Pardalos, Themistocles M. Rassias, (electronic resource)
Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory, edited by Panos M. Pardalos, Themistocles M. Rassias, (electronic resource)
Resource Information
The item Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory, edited by Panos M. Pardalos, Themistocles M. Rassias, (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 Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory, edited by Panos M. Pardalos, Themistocles M. Rassias, (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
 The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, nonsmooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and selfcontained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. Constantin Carathéodory’s wideranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.
 Language
 eng
 Extent
 1 online resource (XI, 759 pages)
 Contents

 Applications of Quasiconvexity (S. Abramovich)
 Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives (D.R. Anderson)
 Sobolevtype inequalities on manifolds in the presence of symmetries and applications (A. Cotsiolis, N. Labropoulos)
 Generalized Minkowski functionals (S. Czerwik, K. Krol)
 A Network Design Model Under Uncertainty (E. D'Amato, E. Daniele, L. Mallozzi)
 Optimal rational approximation number sets: Application to nonlinear dynamics in particle accelerators (N.J. Daras, M.N. Vrahatis)
 Supermeasures Associated to Some Classical Inequalities (S.S. Dragomir)
 Remarks on Solutions of a Functional Equation Arising from an Asymmetric Switch (E. Elhady, J. Brzdek, W. ForgRob, H. Nassar)
 The general sampling theory by using reproducing kernels (H. Fujiwara, S. Saitoh)
 Kronecker’s Products and Kronecker’s Sums of Operators (M. Gil')
 Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders (S. Gluzman, V. Mityushev, W. Nawalaniec, G. Starushenko)
 A Survey on Durrmeyer Type Operators (V. Gupta, T.M. Rassias, J. Sinha)
 On the Imaginary Part of the NonTrivial Zeros of the Riemann Zeta Function (M. Hassani)
 The Ubiquitous Lambert Function and its Classes in Science and Engineering (C. Katsimpiri, P.E. Nastou, P.M. Pardalos, Y.C. Samatiou)
 A Computational Approach to the Unwrappings of the Developable Surfaces (D. Kodokostas)
 Multiple Weighted Orlicz Spaces and Applications (J. Kuang)
 HyersUlamRassias Stability on Amenable Groups (A. Mohamed, E. Elhoucien, S. Khalil)
 Closed Form Solution of a LAN Gateway Queueing Model (H. Nassar, E. Elhady)
 Some Quantam HermiteHadamard Type Inequalities for General Convex Functions (M.A. Noor, T.M. Rassias)
 General Harmonic Convex Functions and Integral Inequalities (M.A. Noor, K.I. Noor, M.U. Awan, S. Iftikhar)
 Extension Operator Method for the Exact Solution of IntegroDifferential Equations (I.N. Parasidis, E. Providas)
 Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations (A. Petruşel, I.A. Rus and M.A. Şerban)
 On the Best HyersUlam Stability Constants for Some Equations and Operators (D. Popa, G. Pugna, I. Raşa)
 More on the Metric Projection onto a Closed Convex Set in a Hilbert Space (B. Ricceri)
 Carathéodory Functions in Partial Differential Equations (M. Schechter)
 Basic Tools, Increasing Functions, and Closure Operations in Generalized Ordered Sets (A. Száz)
 Additionlike Variational Principles in Asymmetric Spaces (M. Turinici)
 Compositional YangHilbertType Integral Inequalities and Operators (B. Yang)
 Opial Inequalities Involving Higher Order Partial Derivatives (C.J. Zhao, W.S. Cheung)
 Isbn
 9783319313177
 Label
 Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory
 Title
 Contributions in Mathematics and Engineering
 Title remainder
 In Honor of Constantin Carathéodory
 Statement of responsibility
 edited by Panos M. Pardalos, Themistocles M. Rassias
 Language
 eng
 Summary
 The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, nonsmooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and selfcontained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. Constantin Carathéodory’s wideranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.
 Assigning source
 Provided by publisher
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Pardalos, Panos M
 Rassias, Themistocles M
 Series statement
 Springer eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Dynamics
 Ergodic theory
 Functional analysis
 Functions of complex variables
 Measure theory
 Functions of real variables
 Combinatorics
 Label
 Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory, edited by Panos M. Pardalos, Themistocles M. Rassias, (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
 Applications of Quasiconvexity (S. Abramovich)  Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives (D.R. Anderson)  Sobolevtype inequalities on manifolds in the presence of symmetries and applications (A. Cotsiolis, N. Labropoulos)  Generalized Minkowski functionals (S. Czerwik, K. Krol)  A Network Design Model Under Uncertainty (E. D'Amato, E. Daniele, L. Mallozzi)  Optimal rational approximation number sets: Application to nonlinear dynamics in particle accelerators (N.J. Daras, M.N. Vrahatis)  Supermeasures Associated to Some Classical Inequalities (S.S. Dragomir)  Remarks on Solutions of a Functional Equation Arising from an Asymmetric Switch (E. Elhady, J. Brzdek, W. ForgRob, H. Nassar)  The general sampling theory by using reproducing kernels (H. Fujiwara, S. Saitoh)  Kronecker’s Products and Kronecker’s Sums of Operators (M. Gil')  Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders (S. Gluzman, V. Mityushev, W. Nawalaniec, G. Starushenko)  A Survey on Durrmeyer Type Operators (V. Gupta, T.M. Rassias, J. Sinha)  On the Imaginary Part of the NonTrivial Zeros of the Riemann Zeta Function (M. Hassani)  The Ubiquitous Lambert Function and its Classes in Science and Engineering (C. Katsimpiri, P.E. Nastou, P.M. Pardalos, Y.C. Samatiou)  A Computational Approach to the Unwrappings of the Developable Surfaces (D. Kodokostas)  Multiple Weighted Orlicz Spaces and Applications (J. Kuang)  HyersUlamRassias Stability on Amenable Groups (A. Mohamed, E. Elhoucien, S. Khalil)  Closed Form Solution of a LAN Gateway Queueing Model (H. Nassar, E. Elhady)  Some Quantam HermiteHadamard Type Inequalities for General Convex Functions (M.A. Noor, T.M. Rassias)  General Harmonic Convex Functions and Integral Inequalities (M.A. Noor, K.I. Noor, M.U. Awan, S. Iftikhar)  Extension Operator Method for the Exact Solution of IntegroDifferential Equations (I.N. Parasidis, E. Providas)  Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations (A. Petruşel, I.A. Rus and M.A. Şerban)  On the Best HyersUlam Stability Constants for Some Equations and Operators (D. Popa, G. Pugna, I. Raşa)  More on the Metric Projection onto a Closed Convex Set in a Hilbert Space (B. Ricceri)  Carathéodory Functions in Partial Differential Equations (M. Schechter)  Basic Tools, Increasing Functions, and Closure Operations in Generalized Ordered Sets (A. Száz)  Additionlike Variational Principles in Asymmetric Spaces (M. Turinici)  Compositional YangHilbertType Integral Inequalities and Operators (B. Yang)  Opial Inequalities Involving Higher Order Partial Derivatives (C.J. Zhao, W.S. Cheung)
 Control code
 9783319313177
 Dimensions
 unknown
 Extent
 1 online resource (XI, 759 pages)
 File format
 multiple file formats
 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
 9783319313177
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319313177
 Other physical details
 37 illustrations, 8 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)959980326
 Label
 Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory, edited by Panos M. Pardalos, Themistocles M. Rassias, (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
 Applications of Quasiconvexity (S. Abramovich)  Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives (D.R. Anderson)  Sobolevtype inequalities on manifolds in the presence of symmetries and applications (A. Cotsiolis, N. Labropoulos)  Generalized Minkowski functionals (S. Czerwik, K. Krol)  A Network Design Model Under Uncertainty (E. D'Amato, E. Daniele, L. Mallozzi)  Optimal rational approximation number sets: Application to nonlinear dynamics in particle accelerators (N.J. Daras, M.N. Vrahatis)  Supermeasures Associated to Some Classical Inequalities (S.S. Dragomir)  Remarks on Solutions of a Functional Equation Arising from an Asymmetric Switch (E. Elhady, J. Brzdek, W. ForgRob, H. Nassar)  The general sampling theory by using reproducing kernels (H. Fujiwara, S. Saitoh)  Kronecker’s Products and Kronecker’s Sums of Operators (M. Gil')  Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders (S. Gluzman, V. Mityushev, W. Nawalaniec, G. Starushenko)  A Survey on Durrmeyer Type Operators (V. Gupta, T.M. Rassias, J. Sinha)  On the Imaginary Part of the NonTrivial Zeros of the Riemann Zeta Function (M. Hassani)  The Ubiquitous Lambert Function and its Classes in Science and Engineering (C. Katsimpiri, P.E. Nastou, P.M. Pardalos, Y.C. Samatiou)  A Computational Approach to the Unwrappings of the Developable Surfaces (D. Kodokostas)  Multiple Weighted Orlicz Spaces and Applications (J. Kuang)  HyersUlamRassias Stability on Amenable Groups (A. Mohamed, E. Elhoucien, S. Khalil)  Closed Form Solution of a LAN Gateway Queueing Model (H. Nassar, E. Elhady)  Some Quantam HermiteHadamard Type Inequalities for General Convex Functions (M.A. Noor, T.M. Rassias)  General Harmonic Convex Functions and Integral Inequalities (M.A. Noor, K.I. Noor, M.U. Awan, S. Iftikhar)  Extension Operator Method for the Exact Solution of IntegroDifferential Equations (I.N. Parasidis, E. Providas)  Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations (A. Petruşel, I.A. Rus and M.A. Şerban)  On the Best HyersUlam Stability Constants for Some Equations and Operators (D. Popa, G. Pugna, I. Raşa)  More on the Metric Projection onto a Closed Convex Set in a Hilbert Space (B. Ricceri)  Carathéodory Functions in Partial Differential Equations (M. Schechter)  Basic Tools, Increasing Functions, and Closure Operations in Generalized Ordered Sets (A. Száz)  Additionlike Variational Principles in Asymmetric Spaces (M. Turinici)  Compositional YangHilbertType Integral Inequalities and Operators (B. Yang)  Opial Inequalities Involving Higher Order Partial Derivatives (C.J. Zhao, W.S. Cheung)
 Control code
 9783319313177
 Dimensions
 unknown
 Extent
 1 online resource (XI, 759 pages)
 File format
 multiple file formats
 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
 9783319313177
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319313177
 Other physical details
 37 illustrations, 8 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)959980326
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