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On Lebesgue's inequality for functions of many variables in a uniform metric
Zaderei Petro Vasyliovych 1 , Tovkach Roman Volodymyrovych 2
1 Department of Mathematical Analysis and Probability Theory, National Technical University of Ukraine "Ihor Sikorsky Kyiv Polytechnic Institute", Kyiv, 03056 , Ukraine
2 Department of Function Theory and Mathematics Teaching Methods, Lesya Ukrainka Volyn National University, Lutsk, 43025, Ukraine
Keywords: Lebesgue's inequality, a uniform metric, Fourier sums
Abstract

We obtain the estimate for deviation of functions from their Fourier sums by the best approximation by trigonometric polynomials.

References

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[5] Zaderei N.M., Tovkach R.V. Approximation of periodic functions of many variables by Feyer sums // Theory of function approximations and related issues: Collection of papers of the Institute of Mathematics of the NAS of Ukraine. Kyiv: Institute of Mathematics of the NAS of Ukraine, - 2010. - 7, № 1. - P. 341-347.

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Cite
ACS Style
Zaderei, P.V.; Tovkach , R.V. On Lebesgue's inequality for functions of many variables in a uniform metric. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Zaderei PV, Tovkach RV. On Lebesgue's inequality for functions of many variables in a uniform metric. Bukovinian Mathematical Journal. 2018; 1(528 ).
Chicago/Turabian Style
Petro Vasyliovych Zaderei, Roman Volodymyrovych Tovkach . 2018. "On Lebesgue's inequality for functions of many variables in a uniform metric". Bukovinian Mathematical Journal. 1 no. 528 .
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