Autore	Hu Yaozhong <1961->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2005]
Descrizione fisica	1 online resource (144 p.)
Disciplina	510 s 519.2/2
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Stochastic integrals Gaussian processes Fractional calculus Integral transforms
ISBN	1-4704-0426-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Representations""; ""Chapter 3. Induced Transformation I""; ""Chapter 4. Approximation""; ""4.1. Rate of Convergence When 0 < H < 1/2""; ""4.2. Rate of Convergence When 1/2 < H < 1""; ""4.3. Higher Order of Convergence When 3/4 < H < 1""; ""4.4. Best Approximation""; ""Chapter 5. Induced Transformation II""; ""5.1. Operators Associated With Z[sub(H)](t,s)""; ""5.2. Inverse Operator of T[sub(H,T)]""; ""5.3. B[sub(H,T)]T[sub(H,T)] when 1/2 < H < 1""; ""5.4. T[sub(H,T)]B[sub(H,T)] for 1/2 < H < 1"" ""5.5. B[sub(H,T)]T[sub(H,T)] for 0 < H < 1/2""""5.6. T[sub(H,T)]B[sub(H,T)] for 0 < H < 1/2""; ""5.7. Transpose of T[sub(H,T)]""; ""5.8. The Expression for T[sub(H,T)]T[sub(H,T)]""; ""5.9. The transpose of B[sub(H,T)]""; ""5.10. The Expression of B[sub(H,T)]B[sub(H,T)]""; ""5.11. Extension of T[sub(H,T)] and B[sub(H,T)]""; ""5.12. Representation of Brownian motion by fractional Brownian motion""; ""Chapter 6. Stochastic Calculus of Variation""; ""6.1. Stochastic Integral for Deterministic Integrands""; ""6.2. A Probability Structure Preserving Mapping"" ""Chapter 13. Continuation""""Chapter 14. Stochastic Control""; ""Chapter 15. Appendix""; ""Bibliography""
Record Nr.	UNINA-9910788749203321

Autore	Geveci Tunc
Pubbl/distr/stampa	New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016
Descrizione fisica	1 online resource (iv, 224 pages) : illustrations
Disciplina	515
Soggetto topico	Calculus Fractional calculus
Soggetto genere / forma	Libros electronicos.
ISBN	1-60650-865-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	1. Understanding the integration of parts -- Integration by parts for indefinite integrals -- Integration by parts for definite integrals -- Integration by parts for definite integrals -- 2. Indefinite integrals and rational functions -- Special cases -- Arbitrary rational functions -- 3. Using integrals for trigonometric and hyperbolic functions -- Products of sin(x) and cos(x) or sinh(x) and cosh(x) -- Special integrals that involve sin (mx) and cos (nx) -- Rational functions of sin(x) and cos(x) or sinh(x) and cosh(x) -- 4. Integrations using trigonometric and hyberbolic substitutions -- The substitution x = a sin (u) -- The substitution x = a sinh (u) -- The substitution x = a cosh (u) -- 5. Approximations in numerical integration -- Riemann sums -- The trapezoid rule -- Simpson's rule -- The derivation of Simpson's rule -- 6. Improper integrals: unbounded intervals and discontinuities -- Improper integrals on unbounded intervals -- Improper integrals that involve discontinuous functions -- 7. Improper integrals: using convergence tests -- Improper integrals on unbounded intervals -- Improper integrals that involve discontinuous functions -- Index.
Record Nr.	UNINA-9910467315503321

Pubbl/distr/stampa	Piscataway, New Jersey : , : Institute of Electrical and Electronics Engineers, , 2014
Descrizione fisica	1 online resource (109 pages)
Disciplina	515
Soggetto topico	Fractional differential equations Fractional calculus Differential inequalities
ISBN	1-4799-2591-8
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISA-996281001603316