We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p), p > 1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).

Correction for 'Real-space evidence of the equilibrium ordered bicontinuous double diamond structure of a diblock copolymer' by C. Y. Chu et al., Soft Matter, 2015, 11, 1871-1876.

hold. This double inequality is known in the literature as the Hermite–Hadamard inequality for convex functions. In recent years many authors established several inequalities connected to this fact. For recent results, refinements, counterparts, generalizations and new Hermite-Hadamard’stype inequalities see [1]–[18]. We recall that the notion of quasi-convex function generalizes the notion of ...

The Burgers vector b with components (1.1) is teated as a vector of a special space, it is called the Burgers space. The Burgers space is an imaginary space, it is assumed to be filled with the infinite ideal (non-distorted) crystalline grid. The tensor T̂ in (1.1) is a double space tensor : its upper index i is associated with some Cartesian coordinate system in the Burgers space, its lower ind...

We present CCD uvbyβ photometry for stars in the nuclei of the young double cluster h and χ Persei. We find that the reddening is highly variable through the h Per nucleus, increasing from west to east, with values ranging from E(b − y) = 0.328 ± 0.022 in the western part to E(b − y) = 0.465 ± 0.024 in the southeast. Towards χ Per the reddening is fairly constant, with E(b − y) = 0.398 ± 0.025....

We consider the boundary value problem y(n)(t) = P (t, y), t ∈ (0, 1) y(ti) = 0, j = 0, . . . , ni − 1, i = 1, . . . , r, where r ≥ 2, ni ≥ 1 for i = 1, . . . , r, ∑r i=1 ni = n and 0 = t1 < t2 < · · · < tr = 1. Criteria are offered for the existence of double and triple ‘positive’ (in some sense) solutions of the boundary value problem. Further investigation on the upper and lower bounds for t...

We give a simple construction, for n ≥ 2, of an ndimensional Calabi-Yau variety of Kummer type by studying the quotient Y of an n-fold self-product of an elliptic curve E by a natural action of the alternating group an+1 (in n + 1 variables). The vanishing of H(Y,OY ) for 0 < m < n follows from the lack of existence of (non-zero) fixed points in certain representations of an+1. For n ≤ 3 we pro...

We present a search for b/EC double beta decay of Te performed with the CUORICINO experiment, an array of TeO2 cryogenic bolometers. After collecting 0.0573 kg . y of Te, we see no evidence of a signal and therefore set the following limits on the half-life: T1 m =2 > 1:9 . 10 y at 90% C.L. for the 0m mode and T 1=2 > 7:6 . 10 y at 90% C.L. for the 2m mode. These results improve the existing li...

We define and study a gluing procedure for Bridgeland stability conditions in the situation when a triangulated category has a semiorthogonal decomposition. As an application, we construct stability conditions on the derived categories of Z2-equivariant sheaves associated with ramified double coverings of P. Also, we study the stability space for the derived category of Z2-equivariant coherent ...

The potential of large scale Yb-loaded liquid scintillators as proposed for solar neutrino spectroscopy are investigated with respect to double beta decay. The potential for β−β− decay of Y b as well as the β/EC decay for Y b is discussed. Not only getting for the first time an experimental half-life limit on Y b decay, this will even be at least comparable or better than existing ones from dif...