In this article, we have introduced the idea of statistically convergent generalized difference lacunary double sequence spaces 2 [ ( , , , )] n w M p q θ Δ , 2 0 [ ( , , , )] n w M p q θ Δ and defined over a semi norm space (X, q). Also we have study some basic properties and obtained some inclusion relations between them.

We show that if f is locally in L log logL then the lacunary spherical means converge almost everywhere. The argument given here is a model case for more general results on singular maximal functions and Hilbert transforms along plane curves [6].

Two new cyanide-bridged heteropolymolybdate complexes have been synthesized by a facile self-assembly process in aqueous solution, which demonstrates a successful tactic to incorporate the cyanometalate fragment into lacunary heteropolymolybdate. Magnetic investigation showed that complex 2 exhibits slow magnetic relaxation behavior.

the idea of difference sequences of real (or complex) numbers was introducedby ki zmaz cite{kizmaz}. in this paper, using the difference operator and alacunary sequence, we introduce and examine the class of sequence $bv_{theta}left(  delta,mathcal{f}right)  .$ we study some of its properties likesolidity, symmetricity, etc.

We present a deterministic algorithm for computing all irreducible factors of degree ≤ d of a given bivariate polynomial f ∈ K[x, y] over an algebraic number field K and their multiplicities, whose running time is polynomial in the bit length of the sparse encoding of the input and in d . Moreover, we show that the factors over Q of degree ≤ d which are not binomials can also be computed in tim...

In this paper, we introduce the notions of asymptotical strong σ 2 σ2 -equivalence, -statistical equivalence, lacunary -equivalence and equivalence in Wijsman sense for double set sequences. Also, investigate some relations between these new notions.