in this paper‎, ‎we consider a general integral operator $g_n(z).$ the main object of the present paper is to study some properties of this integral operator on the classes $mathcal{s}^{*}(alpha),$ $mathcal{k}(alpha),$ $mathcal{m}(beta),$ $mathcal{n}(beta)$ and $mathcal{kd}(mu,beta).$‎

In this paper we investigate the L p boundedness of lacunary maximal function M H n l a c associated to spherical means A r f taken over Koranyi spheres on Heisenberg group. Closely following an approach used by M. Lacey in Euclidean case, obtain sparse bounds for these functions leading new unweighted and weighted estimates. The key ingredients proof are improving property operator continuity ...

Starting from Rodrigues formula we present a general construction of raising and lowering operators for orthogonal polynomials of continuous and discrete variable on uniform lattice. In order to have these operators mutually adjoint we introduce orthonormal functions with respect to the scalar product of unit weight. Using the Infeld-Hull factorization method, we generate from the raising and l...

Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions" (2016). Faculty Publications, Department of Mathematics. 87. Abstract In this article we discuss some of the qualitative properties of fractional difference operators. We especially focus on the connections between the fractional difference operator and the mon...

Uncertainty is an inherent property of all living systems. Curiously enough, computational models inspired by biological systems do not take, in general, under consideration this essential aspect of living systems. In this paper, after introducing the notion of a multi-fuzzy set (i.e. an orthogonal approach to the fuzzification of multisets), we introduce two variants of P systems with fuzzy co...