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Information × Registration Number 0207U008880, 0107U010028 , R & D reports Title Extremal problems of approximation theory, convolution operators and mappings in metric spaces popup.stage_title Head Trigub Roald Mikhailovich, Registration Date 27-12-2007 Organization Donetsk National University popup.description2 Generalizations of classical inequalities of Bernstein, Riesz, Nikolsky, Stechkin and Boas are found. The upper estimations and lower estimations of norms of the integral means of spherical partial Fourier sums are found. Estimations of the best one-sided approximation by algebraic polynomials are obtained for some classes of differentiable functions. The solution of a problem about the best interval quadrature formulas is obtained. The local analog of the Berenstein - Gay theorem is obtained without any restrictions on radial distributions . The theory of weakly flat spaces is advanced. Some generalizations of the Basic Covering Theorem in metric spaces are obtained. Product Description popup.authors popup.nrat_date 2020-04-02 Close