Henstock-kurzweil Integration On Euclidean Spaces

The HenstockKurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple HenstockKurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus.

Sommario

The One-Dimensional Henstock-Kurzweil Integral; The Multiple Henstock-Kurzweil Integral; Lebesgue Integrable Functions; Further Properties of Henstock-Kurzweil Integrable Functions; The Henstock Variational Measure; Multipliers for the Henstock-Kurzweil Integral; Some Selected Topics in Trigonometric Series; Some Applications of the Henstock-Kurzweil Integral to Double Trigonometric Series.

Dettagli sul prodotto

• Autori: Lee Tuo Yeong, Tuo Yeong Lee, Lee Tuo Yeong
• Editore: Ingram Publishers Services
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 18.03.2011
• EAN: 9789814324588
• ISBN: 978-981-4324-58-8
• Serie: Series In Real Analysis
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi; MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus, Integral calculus & equations, Real analysis, real variables, Integral calculus and equations