DSpace Arşivi :: by Yazar "Gat, Sorin G." değerine göre listeleniyor

Listeleniyor 1 - 1 / 1

q-generalizations of the Picard and Gauss-Weierstrass singular integrals
(Mathematical Soc Rep China, 2008) Aral, Ali; Gat, Sorin G.
Introducing a higher order modulus of smoothness based on q-integers, in this paper first we obtain Jackson-type estimates in approximation by Jackson-type generalizations of the q-Picard and q-Gauss-Weierstrass singular integrals and give their global smoothness preservation property with respect to the uniform norm. Then, we study approximation and geometric properties of the complex variants for these q -singular integrals attached to analytic functions in compact disks. Finally, we prove approximation properties of these q-singular integrals attached to vector-valued functions.