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The multipliers of multiple trigonometric Fourier series
Open Engineering, 2016 We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier
Ydyrys Aizhan +2 more
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Fourier Series Related to p-Trigonometric Functions
AxiomsIn this paper, we introduce the concept of generalized Fourier series, generated by the p-trigonometric functions, namely cosp and sinp, recently introduced related to the generalized complex numbers systems.
Ali Hamzah Alibrahim, Saptarshi Das
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On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting
Journal of Inequalities and Applications, 2006 The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions.
Kokilashvili V, Guven A
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Approximation on the regular hexagon
Journal of Numerical Analysis and Approximation Theory, 2020 The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
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Generalization of the Hardy-Littlewood theorem on Fourier series [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In the theory of one-dimensional trigonometric series, the Hardy-Littlewood theorem on Fourier series with monotone Fourier coefficients is of great importance.
S. Bitimkhan
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A new note on factored infinite series and trigonometric Fourier series
Comptes Rendus. Mathématique, 2021 In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
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Approximation of classes of Poisson integrals by Fejer means
Математичні Студії, 2023 The paper is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are generated by linear methods of summation of Fourier series.
O. Rovenska
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Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the ...
S. Bitimkhan, D.T. Alibieva
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On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva +3 more
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Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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