Kovalenko L. Approximative properties of Cesaro means of multiple orthogonal series and Whitney constants

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000688

Thesis Registration Form

0404U000688.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

13-02-2004

Specialized Academic Board

Л 41.051.05

Essay

The submitted thesis is devoted to finding exacte estimates of the rate of Cesaro summability almost everywhere of positive, negative and mixed orders of multiple Fourier series under coefficient conditions of classical type. The necessity of these conditions has been proved for the class of all Fourier series. New asymptotic and absolute estimates have been found for minimal constans in Whitney inequality in integral metric. They improve the estimates of this type obtained before.

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Files

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dis.pdf

Титул_дис.doc

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