Table of Contents
Table of Contents
Preface pp i-xv
THEORY OF INTEGRATION pp. 1-2
Chapter 1. Modified Numerical Integral Formula for Unequal Sub-Intervals using Cubic Spline Interpolation Formula
(B.S. Bhadauria, and A.K. Singh)pp. 3-10
Chapter 2. Fuzzy Integral-Based T- and S-Evaluators: Sugeno Integral
(Slavka Bodjanova, and Martin Kalina)pp. 11-30
Chapter 3. Fuzzy Integral-Based T- and S-Evaluators: Shilkret and Choquet Integrals
(Slavka Bodjanova, and Martin Kalina)pp. 31-54
Chapter 4. Named Sets and Integration of Structures
(Mark Burgin)pp. 55-98
Chapter 5. Integration in Bundles with a Hyperspace Base: Indefinite Integration
(Mark Burgin)pp. 99-138
Chapter 6. On New Integral Operator in Complex Domain
(Maslina Darius, Rabha W. Ibrahim)pp. 139-148
Chapter 7. An Abstract Gauge Integral
(Isidore Fleischer)pp. 149-152
Chapter 8. A Criterion for the Saks-Heinstok Lemma in a Topological Vector Space
(Toshiharu Kawasaki)pp. 153-164
MATHEMATICAL APPLICATIONS OF INTEGRATION pp. 165-166
Chapter 9. Nonlinear Cauchy-Kowalewski Theorem in Extrafunctions
(Mark Burgin)pp. 167-202
Chapter 10. Existence of Solutions for Fractional Integral Inclusions with Time Delay
(Rabha W. Ibrahim)pp. 203-214
Chapter 11. Length of Ray Images under Analytic Maps
(V. Karunakaran and K. Bhuvaneswari)pp. 215-222
Chapter 12. Generalized Quotients and Laplace Transform
(V. Karunakaran and R. Angeline Chella Rajathi)pp. 223-230
Chapter 13. Nonsquare Constants of Orlicz Sequence Spaces
(Z.D. Ren)pp. 231-248
Chapter 14. An Extension of Stiltjes Transform
(R. Roopkumar)pp. 249-262
INTEGRATION OF RANDOM PROCESSES pp. 263-264
Chapter 15. Properties of Conditional Hyperprobabilities
(M. Burgin and A. Krinik)pp. 265-288
Chapter 16. Mathematical Models in Finance and Negative Probability
(Mark Burgin and Gunter Meissner)pp. 289-312
Chapter 17. Some Models for Standard and Assisted Cell Mutations
(J. Gani and R.J. Swift)pp. 313-322
Chapter 18. The Irreducible Three and Four-State Markov Process
(Lilinoe Harbottle , Blake Hunter and Alan Krinik)pp. 323-342
Chapter 19. Sequential Hypothesis Testing with Spatially Correlated Count Data
(Judy X. Li, Daniel R. Jeske, Jesús R. Lara and Mark Hoddle)pp. 343-358
GENERAL APPLICATIONS OF INTEGRATION pp. 359-360
Chapter 20. Topological Structure of Information Channels and Channel Operators
(Yuichiro Kakihara)pp. 361-374
Chapter 21. The Entropy Functional’s and the Information Path Functional’s Basics with the Thermodynamics and Cooperative Information Dynamics Applications
(Vladimir S. Lerner)pp. 375-416
Chapter 22. An Integral Equation Approach to the Static Analysis of Stiffened Plates – Application to Concrete or to Composite Steel-Concrete Structures
(E.J. Sapountzakis)pp. 417-458
Index pp. 459-465