2026-04-13T00:54:37Zhttps://recercat.cat/oai/requestoai:recercat.cat:2072/4525542024-06-06T09:45:25Zcom_2072_98col_2072_378195
RECERCAT
author
Tikhonov, Sergey Yu.
author
Centre de Recerca Matemàtica
2005
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 < α < 1) are the same, but for Lip 1 are different. Later his results were generalized by many authors in the viewpoint of generalization of condition on the majorant of modulus of continuity. The aim of this paper is to obtain Boas-type theorems for generalized Lipschitz classes. To define generalized Lipschitz classes we use the concept of modulus of smoothness of fractional order.
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Lipschitz, Funcions de
Funcions
On Boas-Type Problem
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