Recently,q-Bernstein polynomials have been intensively investigated by a number of authors.Their results show that for q≠1,q-Bernstein polynomials possess of many interesting properties.In this paper,the convergence ...Recently,q-Bernstein polynomials have been intensively investigated by a number of authors.Their results show that for q≠1,q-Bernstein polynomials possess of many interesting properties.In this paper,the convergence rate for iterates of both q-Bernstein polynomials and their Boolean sum are estimated.Moreover,the saturation of{Bn(.,qn)}when n→∞and convergence rate of Bn(f,q;x)when f∈C^n-1[0,1],q→∞are also presented.展开更多
文摘Recently,q-Bernstein polynomials have been intensively investigated by a number of authors.Their results show that for q≠1,q-Bernstein polynomials possess of many interesting properties.In this paper,the convergence rate for iterates of both q-Bernstein polynomials and their Boolean sum are estimated.Moreover,the saturation of{Bn(.,qn)}when n→∞and convergence rate of Bn(f,q;x)when f∈C^n-1[0,1],q→∞are also presented.
