for any lacunary sequence $theta = (k_{r})$, we define the concepts of $s_{theta}-$limit point and $s_{theta}-$cluster point of a sequence of fuzzy numbers $x = (x_{k})$. we introduce the new sets  $lambda^{f}_{s_{theta}}(x)$, $gamma^{f}_{s_{theta}}(x)$ and prove some inclusion relaions between these and the sets $lambda^{f}_{s}(x)$, $gamma^{f}_{s}(x)$ introduced in ~cite{ayt:slpsfn} by aytar [...

In four cases it is already known that the product of two distinct Jacobian theta functions having the same variable z and the same nome q is a multiple of a single Jacobian theta function, with the multiple independent of z. The main purpose of the present note is to show that this property also applies in the remaining two cases.

SCIENCE Geological History In past discussions and speculations concerning the early peopling of the New World, the hypothesized "migration cor-ridor" between the Cordilleran and Lau-rentian ice sheets has figured prominently (1). By contrast with this much-mooted route east of the Rocky Mountains , little consideration has been given to possible routes west of the Rockies. I will examine such ...

Let $A_\Phi$ be a matrix valued truncated Toeplitz operator -- the compression of multiplication to vector model space $H^2(E)\ominus \Theta H^2(E)$, where $\Theta$ is non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that product $A_\Phi A_\Psi$ itself operator.

We construct the so-called theta vectors on noncommutative T , which correspond to the theta functions on commutative tori with complex structures. Following the method of Dieng and Schwarz, we first construct holomorphic connections and then find the functions satisfying the holomorphic conditions, the theta vectors. The holomorphic structure in the noncommutative T 4 case is given by a 2×2 co...

We find the decay orders of Kolmogorov widths some Besov classes related to $$W^1_1$$ (the behavior for class remains unknown): $$d_n(B^1_{1,\theta}[0,1],L_q[0,1])\asymp n^{-1/2}\log^{\max\{1/2,1-1/\theta\}}n$$ $$2<q<\infty$$ and $$1\le\theta\le\infty$$ . The proof relies on lower bound width a product octahedra in special norm (maximum two weighted $$\ell_{q_i}$$ norms). This generalizes ...

A single period inventory model, also popularly known as the Newsboy or Christmas tree problem, is to decide the quantity of a single product to be manufactured or purchased for a single period such that the quantity maximizes (minimizes) the expected profit (cost) under stochastic demand. The earliest works in this area were those by Hadley and Whittin (1963) and Hodges and Moore (1970). The l...

We prove analytic and combinatorial identities reminiscent of Schur’s classical partition theorem. Specifically, we show that certain families of overpartitions whose parts satisfy gap conditions are equinumerous with partitions whose parts satisfy congruence conditions. Furthermore, if small parts are excluded, the resulting overpartitions are generated by the product of a modular form and Gor...