منابع مشابه
From Scalar to Vector Optimization
Initially, second-order necessary and sufficient optimality conditions in terms of Hadamard type derivatives for the unconstrained scalar optimization problem φ(x)→ min, x ∈ R, are given. These conditions work with arbitrary functions φ, but they show inconsistency with the classical derivatives. This is a base to pose the question, whether the formulated optimality conditions remain true when ...
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Quantization is the process of mapping a continuous or discrete scalar or vector, produced by a source, into a set of digital symbols that can be transmitted or stored using a finite number of bits. In the case of continuous sources (with values in R or Rn) quantization must necessarily be used if the output of the source is to be communicated over a digital channel. In this case, it is, in gen...
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We inspect the relationship between the Ap,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular we will show if we are considering a norm-valued function ρ(·) such that, uniformly in all nonzero vectors x, ρ(·)(x) p ∈ Ap and ρ(·)(x) ∈ Aq then the following hold: If p = q = 2, and functions take values in R then ρ ∈ A2,2. If p = q = ...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2006
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-006-0002-1