Properties of a Family of Operators
Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 412-426

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In this paper we define a family of new nonsymmetric operators of generalized translation and describe their properties. For each of these operators, we introduce a generalized modulus of smoothness, for which the direct and inverse theorems of approximation theory are given.
@article{MZM_2001_69_3_a9,
     author = {M. K. Potapov},
     title = {Properties of a {Family} of {Operators}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {412--426},
     publisher = {mathdoc},
     volume = {69},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a9/}
}
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M. K. Potapov. Properties of a Family of Operators. Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 412-426. http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a9/