"the results of the book are very interesting and profound and can be read successfully without preliminary knowledge. It is written with a great didactical mastery, clearly and precisely It can be recommended not only for specialists on integration theory, but also for a large scale of readers, mainly for postgraduate students".Mathematics Abstracts
"the results of the book are very interesting and profound and can be read successfully without preliminary knowledge. It is written with a great dida...
The main topics of this book are convergence and topoligization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Denjoy integration in the restricted sense, the integrations introduced by Pfeffer and by Bongiorno, and many others. Morever, some relations between integration and differentiation are made clear.
The book is self-contained. It is of interest to specialists in the field of real functions, and it can also be read by...
The main topics of this book are convergence and topoligization. Integration on a compact interval on the real line is treated with Riemannian sums fo...
This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur.
This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the fie...
