L∞-approximation in probability spaces

$L$-fuzzy approximation spaces and $L$-fuzzy topological spaces

The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.

Approximation in Weighted L Spaces

The Lipschitz classes Lip (α, p, w) , 0 < α ≤ 1 are defined for the weighted Lebesgue spaces L p w with Muckenhoupt weights, and the degree of approximation by matrix transforms of f ∈ Lip (α, p, w) is estimated by n −α .

Approximation by Rational Operators in L Spaces

BEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED SPACES

The main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. We develop the theory of t-bestsimultaneous approximation in quotient spaces. Then, we discuss the relationshipin t-proximinality and t-Chebyshevity of a given space and its quotientspace.

t-BEST APPROXIMATION IN FUZZY NORMED SPACES

The main purpose of this paper is to find t-best approximations in fuzzy normed spaces. We introduce the notions of t-proximinal sets and F-approximations and prove some interesting theorems. In particular, we investigate the set of all t-best approximations to an element from a set.