This article is cited in 3 papers

Exact inequalities for the upper bounds of seminorms on a class of periodic functions

A. A. Ligun

Dnepropetrovsk State University

Abstract: We establish exact inequalities for the upper bounds of seminorms on classes of differentiable periodic functions, and as corollaries of them, exact inequalities between the best approximations by trigonometric polynomials of functions and their derivatives in the metrics of $C$ and $L$.

UDC: 517.5

Received: 09.11.1972

 English version: Mathematical Notes, 1973, 13:5, 389–393

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