نتایج جستجو برای: limit summable function
تعداد نتایج: 1375516 فیلتر نتایج به سال:
The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each others by model-independent formulas. We establish such relations, the proof of which has represented a challenging mathematical problem, for a general mode...
We obtain necessary and (different) sufficient conditions for a series summable | ¯ N, p n | k , 1 < k ≤ s < ∞, to imply that the series is summable |T | s , where (¯ N, p n) is a weighted mean matrix and T is a lower triangular matrix. As corollaries of this result, we obtain several inclusion theorems. Let a n be a given series with partial sums s n , (C, α) the Césaro matrix of order α. If σ...
Abstract. We study countable sums of two dimensional modules for the continuous complex functions on a compact metric space and show that it is possible to construct a spectral triple which gives the original metric back. This spectral triple will be finitely summable for any positive parameter. We also construct a sum of two dimensional modules which reflects some aspects of the topological di...
In this article we introduce and study the notions of ( , ) s v r -lacunary strongly summable, ( , ) s v r Cesàro strongly summable, ( , ) s v r statistically convergent and ( , ) s v r -lacunary statistically convergent sequence of fuzzy numbers. Consequently we construct the spaces ( , ) F sv r L , 1 ( , ) F sv r , ( , ) F sv r S and ( , ) F sv r S respecti...
Function values are, in some sense, “almost as good” general linear information for L2-approximation (optimal recovery, data assimilation) of functions from a reproducing kernel Hilbert space. This was recently proved by new upper bounds on the sampling numbers under assumption that singular embedding this space into L2 are square-summable. Here we mainly prove lower bounds. In particular behav...
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