Table of Contents
Table of Contents
Preface
MEASURE AND INTEGRATION
Chapter 1 – Operations with Extrafunctions and Integration in Bundles with a Hyperspace Base
(Burgin, M.)
Chapter 2 – Orthogonally Scattered Measures and Weak Radon-Nikodym Derivatives
(Yûichirô Kakihara)
Chapter 3 – Hyperintegration in Function Spaces
(Burgin, M.)
Chapter 4 – Directions and Methods in Integration
(Burgin, M.)
EQUATIONS AND INEQUALITIES
Chapter 5 – Soliton Solutions for Nonlinear Evolution Equations by Using Inverse Scattering Method
(Gharib, G.M.)
Chapter 6 – Properties of q-Integral Inequalities
(Sulaiman, W. T.)
Chapter 7 – Hyperintegral Inequalities
(Burgin, M.)
Chapter 8 – Generalized Equations for Numerical Integration over Two Dimensional Domains Using Quadrature Rules
(Logah Perumal and DawThet Mon)
OPERATORS
Chapter 9 – Watson Transform for Boehmians
(Roopkumar, R.)
Chapter 10 – Double Commutants of Multiplication Operators on C(K)
(Kitover, A.K.)
Chapter 11 – Curvelet Transform on Tempered Boehmians
(R. Subash Moorthy and R. Roopkumar)
PROBABILITY
Chapter 12 – Hyperexpectation in Axiomatic and Constructive Settings
(Burgin, M. and Krinik, A.C.)
Chapter 13 – On the Effectiveness of Mixed Model Based Logistic Regression Classifiers for Longitudinal Data
(Daniel R. Jeske, Jun Li, and Vance Wong)
Chapter 14 – Picturesque Diversity of Probability
(Burgin, M.)
APPLICATIONS
Chapter 15 – In Defense of the Much Maligned Classical Formula for the Transient Solution of the Single Server Queue
(Barbara Margolius)
Chapter 16 – The Information Path Functional Approach to Solution of a Controllable Stochastic Problem
(Lerner, V.S.)
Chapter 17 – Real-Time Inverse Modeling of Control Systems in Hypernumbers
(Mark Burgin and Arkadiy Dantsker)
Index
