Potapov, M. K.; Berisha, F. M. The Jackson theorem for the smoothness modulus determined by nonsymmetric generalized shift operator. (English. Russian original) Zbl 0998.41017 Mosc. Univ. Math. Bull. 55, No. 3, 6-14 (2000); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 3, 7-15 (2000). The author considers a class of nonsymmetric operators of generalized shift. For each operator the generalized smoothness moduli are introduced. The Jackson theorem is proved for the smoothness module as well as the converse theorem. Reviewer: V.V.Vlasov (Moskva) Cited in 1 Document MSC: 41A36 Approximation by positive operators 41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) Keywords:nonsymmetric operator of generalized shift; Jackson theorem PDF BibTeX XML Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, Mosc. Univ. Math. Bull. 55, No. 3, 7--15 (2000; Zbl 0998.41017); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 3, 7--15 (2000) OpenURL