Mathematical Analysis and Its Applications

Proceedings of the International Conference on Mathematical Analysis and its Applications, Kuwait, 1985

S. M. Mazhar, A. Hamoui, N. S. Faour

• Publisher: Pergamon
• Year: 2014
• Print ISBN: 9780080316369
• eBook ISBN: 9781483148113
• Topic: Mathematics
• Subtopic: Calculus
• Index: Mathematics

Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.

Table of contents

• Front Cover
• Mathematical Analysis and its Applications
• Copyright Page
• Table of Contents
• Organizing Committee
• Preface
• CHAPTER 1. AN ESTIMATE FOR THE RATE OF CONVERGENCE OF A GENERAL CLASS OF ORTHOGONAL POLYNOMIAL EXPANSIONS OF FUNCTIONS OF BOUNDED VARIATION
• CHAPTER 2. AN ESTIMATE OF THE RATE OF CONVERGENCE OF CESARO MEANS OF FOURIER SERIES OF FUNCTIONS OF BOUNDED VARIATION
• CHAPTER 3. APPROXIMATION OF CONTINUOUS FUNCTIONS BY ULTRASPHERICAL SERIES
• CHAPTER 4. MODIFIED SZASZ OPERATORS
• CHAPTER 5. APPROXIMATION BY WALSH SERIES
• CHAPTER 6. ON SOME CLASSES OF BI-UNIVALENT FUNCTIONS
• CHAPTER 7. SOME APPLICATIONS OF GENERALIZED CALCULUS TO DIFFERENTIAL AND INTEGRO DIFFERENTIAL EQUATIONS
• CHAPTER 8. A BOUNDARY VALUE PROBLEM FOR HEAT AND MASS TRANSFER IN POROUS MEDIA
• CHAPTER 9. REPRESENTATION OF MULTIPLIERS OF EIGEN AND JOINT FUNCTION EXPANSIONS OF NONLOCAL SPECTRAL PROBLEMS FOR FIRST AND SECOND ORDER DIFFERENTIAL OPERATORS
• CHAPTER 10. COMPARISON METHODS FOR EIGENVALUES OF SEMILINEAR ELLIPTIC OPERATORS
• CHAPTER 11. RÉGULARITÉ DES SOLUTIONS DE L'EQUATION DES MILIEUX POREUX EN UNE DIMENSION D'ESPACE
• CHAPTER 12. THE SMOOTHNESS OF THE HEAT EQUATION SOLUTION IN A SINGULAR DOMAIN OF Rn+1
• CHAPTER 13. SEQUENCES OF FOURIER–YOUNG COEFFICIENTS OF A FUNCTION OF WIENER'S CLASS
• CHAPTER 14. MULTIPLIERS AND ISOMETRIES OF ORLICZ SPACES
• CHAPTER 15. CONE ABSOLUTELY (p,q) — SUMMING OPERATORS FROM BANACH LATTICES TO BANACH SPACES AND THEIR ADJOINTS
• CHAPTER 16. THE STABILITY OF LINEAR MAPPINGS ANDSOME PROBLEMS ON ISOMETRIES
• CHAPTER 17. GLOBAL THEORIES OF THE LINEARIZING PROJECTION WITH APPLICATIONS
• CHAPTER 18. ON ONE-PARAMETER GROUPS OF AUTOMORPHISMS OF VON NEUMANN ALGEBRAS
• CHAPTER 19. ON THE EULER–MACLAURIN SUMMATION FORMULA FOR ALTERNATING SERIES AND A NEW PROOF OF THE FUNCTIONAL EQUATION FOR θ(x)
• CHAPTER 20. A FINITE ELEMENT APPROACH TO NONLINEAR TRANSIENT PROBLEMS
• CHAPTER 21. NUMERICAL SOLUTION OF MULTI-DIMENSIONAL STEFAN PROBLEM
• CHAPTER 22. A SELF-CONSISTENT FINITE-DIFFERENCE TREATMENT OF THE MOVING BOUNDARY FOR LONG WAVES IN SHALLOW WATER
• CHAPTER 23. RATIONAL AND POLYNOMIAL APPROXIMATIONS FROM ULTRASPHERICAL SERIES FOR LINEAR DIFFERENTIAL EQUATIONS
• CHAPTER 24. THE ASYMPTOTIC BEHAVIOUR OF SOME SEMI-DISCRETE AND FULLY-DISCRETE FINITE ELEMENT SCHEMES FOR THE EVOLUTION NAVIER-STOKES EQUATIONS
• CHAPTER 25. ITERATIONS D'ALGORITHMES D'ACCELERATION DE LA CONVERGENCE
• CHAPTER 26. A THIRD ORDER FINITE-DIFFERENCE METHOD FOR TWO DIMENSIONAL PARABOLIC EQUATIONS
• CHAPTER 27. A PARALLEL ASYNCHRONOUS RELAXATION ALGORITHM FOR OPTIMALCONTROL PROBLEMS
• CHAPTER 28. ON THE VALIDITY AND STABILITY OF THE METHOD OF LINES FOR THE SOLUTION OFPARTIAL DIFFERENTIAL EQUATIONS
• CHAPTER 29. CAUSALITY IN ALGORITHMS AND ARCHITECTURES
• CHAPTER 30. SOME RESULTS ON FINITE-ELEMENT APPROXIMATION OF A QUASI-VARIATIONAL IN EQUALITY INSEMI-CONDUCTOR ANALYSIS
• CHAPTER 31. ASYNCHRONOUS ALGORITHMS FOR HEAT CONDUCTION IN COMPOSITE MEDIA
• CHAPTER 32. Lo-STABLE METHODS FOR CONSTANT COEFFICIENT PARABOLIC EQUATIONS
• CHAPTER 33. FINITE ELEMENT CALCULATION OF A PATH INTEGRAL FOR NONLINEAR FRACTURE
• CHAPTER 34. NUMERICAL TREATMENT OF SOME MATHEMATICAL MODELS DESCRIBING LONG-RANGE TRANSPORT OF AIR POLLUTION
• CHAPTER 35. FUNCTIONS MOYENNE-PERIO DI QUES ASSOCIEES A UN OPERATEUR DIFFERENTIEL DANS LE DOMAINE COMPLEXE
• CHAPTER 36. ON AN APPLICATION OF REGULAR VARIATION IN PROBABILITY THEORY
• CHAPTER 37. HILBERT SPACE STRUCTURE ON THE SOLUTION SPACE OF HELMHOLTZ EQUATION
• CHAPTER 38. TEACHING THE ART OF APPLYING MATHEMATICS