Bojucha L. Inequalities of Jackson's type

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U002802

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

24-09-2002

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The investigated inequalities Jacson's type at the best approximation for some weight functions. Design a class of the linear operators, which in inequalities Jacson's type give the least constant, also as Fur'e method. It has solved to find exact data of sizes for some classical linear methods of approximation. Received nhe estimations of the best approximation of functions from more common class containing a class Sobolev. Known results about research of sizes distributed on functions of two variables.

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