Opening book details…
Can I read Determination of the Jumps of a Bounded Function by Its Fourier Series on EtoBox?
Determination of the Jumps of a Bounded Function by Its Fourier Series by George Kvernadze is a Mathematics article available to read on EtoBox.
What is Determination of the Jumps of a Bounded Function by Its Fourier Series about?
The well-known identity which determines the jumps of a function of bounded variation by its Fourier series is extended to larger classes of functions, such as V 8 , 4BV, and V[v], under some conditions on the generalized variations. It is shown as well that the conditions on the generalized variations are definitive in some sense. Based on the above-mentioned results, an identity which determines the jumps of a bounded function by its Fourier series with respect to the system of generalized Jacobi polynomials is obtained for these function classes. 1998 Academic Press is the modulus of continuity of f # C[a, b] on [a, b]. If g # L[&?, ?], g has a Fourier series with respect to the trigonometric system [1, cos n%, sin n%] n=1 , and we denote the nth partial sum of the Article No. AT973125 167
Who reads Determination of the Jumps of a Bounded Function by Its Fourier Series?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- George Kvernadze
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-9045)
- Published
- 1998
- Language
- EN
- Field
- Mathematics (Physical Sciences)