Approximation of classes of Poisson integrals by Fejer means
نویسندگان
چکیده
The paper is devoted to the investigation of problem approximation continuous periodic functions by trigonometric polynomials, which are generated linear methods summation Fourier series.
 simplest example a partial sums their series. However, sequences not uniformly convergent over class functions. Therefore, many studies research approximative properties methods, transformations series and allow us construct trigonometrical polynomials that would be for whole Particularly, Fejer have been widely studied recently. One important problems in this area study asymptotic behavior sharp upper bounds given deviations polynomials.
 In paper, we estimates between function means function. considered represented Poisson integrals real variable. mentioned classes consist analytic These can regularly extended into corresponding strip complex plane.An equality on was obtained.
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ژورنال
عنوان ژورنال: Matemati?nì studìï
سال: 2023
ISSN: ['2411-0620', '1027-4634']
DOI: https://doi.org/10.30970/ms.59.2.201-204