{ "id": "1410.7977", "version": "v1", "published": "2014-10-05T04:01:14.000Z", "updated": "2014-10-05T04:01:14.000Z", "title": "Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space", "authors": [ "George Tephnadze" ], "comment": "(to appear), Acta Mathematica Scientia, (2014). arXiv admin note: substantial text overlap with arXiv:1410.6721", "categories": [ "math.CA", "math.FA" ], "abstract": "The main aim of this paper is to find necessary and sufficient conditions for the convergence of Walsh-Kaczmarz-Fej\\'er means in the terms of the modulus of continuity on the Hardy spaces $H_{p},$ when $0