In this article we have studied on lacunary I-convergent sequences of fuzzy real numbers. We verify and establish some algebraic properties such as linearity, symmetric, convergence free etc. and also established some other results.

Reaction of the metastable anion [H(2)P(2)W(12)O(48)](12-) with Co(2+) yields a novel heart-like polyoxoanion based on the lacunary Preyssler-type anion [P(4)W(24)O(92)](20-).

The solution chemistry of a series of mono-, di- and trilacunary Keggin silicotungstates was investigated by electrospray ionization mass spectrometry (ESI-MS) and general electrospray features especially for lacunary POMs are summarized. The reactions of vanadium incorporation into the lacunary structures were successfully monitored in real-time by a combination of ESI-MS and differential puls...

This article continues the study of multiple blocking sets in PG(2, q). In [3], using lacunary polynomials, it was proven that t-fold blocking sets of PG(2, q), q square, t < q1/4/2, of size smaller than t(q + 1) + cqq 2/3, with cq = 2 −1/3 when q is a power of 2 or 3 and cq = 1 otherwise, contain the union of t pairwise disjoint Baer subplanes when t ≥ 2, or a line or a Baer subplane when t = ...

Let D be a nonnegative integer and Θ ⊂ S1 be a lacunary set of directions of order D. We show that the Lp norms, 1 < p < ∞, of the maximal directional Hilbert transform in the plane HΘ f (x ) B sup v ∈Θ p.v. ∫ R f (x + tv ) dt t , x ∈ R 2, are comparable to (log #Θ) 2 . For vector elds vD with range in a lacunary set of of order D and generated using suitable combinations of truncations of Lips...