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Polynomial approximation of functions with given order of thekth generalized modulus of smoothness
Authors:M. K. Potapov  G. N. Kazimirov
Affiliation:(1) M. V. Lomonosov Moscow State University, USSR
Abstract:The problem of approximation by algebraic polynomials is considered on function classes characterized by the value of thekth generalized modulus of smoothness defined by the Jacobi generalized shift operator. Translated fromMatematicheskie Zametki, Vol. 63, No. 3, pp. 425–436, March, 1998.
Keywords:approximation problem  polynomial approximation  generalized modulus of smoothness  Jacobi shift operator
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