On behaviour of the Riesz and generalized Riesz potentials as order tends to zero

Gadjiev, A. D.Aral, A.Aliev, Ilham A.2020-06-252020-06-2520071331-4343https://hdl.handle.net/20.500.12587/3833In this paper, we present the Riesz potentials I-alpha and the generalized Riesz potentials I-v(alpha) as the families of positive linear operators, depending on parameter alpha > 0. We investigate their pointwise convergence and convergence in the norm as alpha -> 0. We investigate also the order of approximation of these families and show in particular that the order of approximation at the Lipschitz points is independent from Lipschitz degree.eninfo:eu-repo/semantics/closedAccessRiesz potentialsgeneralized translation operatord-pointLipschitz pointapproximationmodulus of continuityOn behaviour of the Riesz and generalized Riesz potentials as order tends to zeroArticle1048758882-s2.0-35648952310Q1WOS:000250470600016Q4