In this paper, we extend an inequality concerning the polar derivative of a polynomial in Lp-norm to class lacunary polynomials and thereby obtain bound that depends on some coefficients as well.

We prove the sharp weighted-L2 bounds for strong-sparse operators introduced in [3]. The main contribution of paper is construction a weight that lacunary mixture dual power weights. This helps to sharpness trivial upper bound operator norm.

The purpose of this paper is to introduce the concepts of lacunary almost statistical convergence and strongly almost convergence of generalized difference sequences of fuzzy numbers. We obtain some results related to these concepts. It is also shown that lacunary almost statistical convergence and strongly almost convergence are equivalent for bounded sequences of fuzzy numbers. θ m Δ θ m Δ m ...