{ "id": "2202.00148", "version": "v1", "published": "2022-01-31T23:29:56.000Z", "updated": "2022-01-31T23:29:56.000Z", "title": "On the degree of approximation of continuous functions by a linear transformation of their Fourier series", "authors": [ "Xhevat Z. Krasniqi" ], "comment": "11 pages", "categories": [ "math.CA" ], "abstract": "In this paper, we have proved four theorems on the degree of approximation of continuous functions by matrix means of their Fourier series which is expressed in terms of the modulus of continuity and a non-negative mediate function.", "revisions": [ { "version": "v1", "updated": "2022-01-31T23:29:56.000Z" } ], "analyses": { "keywords": [ "fourier series", "continuous functions", "linear transformation", "approximation", "matrix means" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }