On Fourier series of fuzzy-valued functions.

Fourier analysis is a powerful tool for many problems, and especially for solving various differential equations of interest in science and engineering. In the present paper since the utilization of Zadeh's Extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct a fuzzy-valued function on a closed interval via related membership function. We derive uniform convergence of a fuzzy-valued function sequences and series with level sets.

Some new generalized difference spaces of nonabsolute type derived from the spaces ℓ p and ℓ ∞.

We introduce the sequence space ℓpλ(B) of none absolute type which is a p-normed space and BK space in the cases 0 View Article and Find Full Text PDF