Aliev, Ilham A.Gadjiev, A. D.Aral, Ali2020-06-252020-06-252006Aliev, I.A., Gadjiev, A.D., & Aral, A. (2006). On approximation properties of a family of linear operators at critical value of parameter. J. Approx. Theory, 138, 242-253.0021-90451096-0430https://doi.org/10.1016/j.jat.2005.11.011https://hdl.handle.net/20.500.12587/3626We introduce the family of linear operators [GRAPHICS] associated to a certain "admissible bunch" of operators S-t, t > 0, acting on L-p (R-n, dm, and investigate the approximation properties of this family as alpha -> 0(+). We give some applications to the Riesz and the Bessel potentials generated by the ordinary (Euclidean) and generalized translations. (C) 2005 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/openAccessRiesz potentialsBessel potentialsgeneralized translationLipschitz pointPoisson semigroupmetaharmonic semigroupArticle138224225310.1016/j.jat.2005.11.0112-s2.0-32144437052Q2WOS:000235744200008Q3