
arXiv: 1208.6328
An asymmetric operator of generalised translation is introduced in this paper. Using this operator, we define a generalised modulus of smoothness and prove direct and inverse theorems of approximation theory for it.
14 pages
Mathematics - Functional Analysis, operator of generalized translation, direct and inverse theorems of approximation, FOS: Mathematics, Rate of convergence, degree of approximation, generalized modulus of smoothess, Functional Analysis (math.FA), 41A35 (41A50, 42A16)
Mathematics - Functional Analysis, operator of generalized translation, direct and inverse theorems of approximation, FOS: Mathematics, Rate of convergence, degree of approximation, generalized modulus of smoothess, Functional Analysis (math.FA), 41A35 (41A50, 42A16)
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