2009•Georgian Mathematical JournalRequires access

On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series

Larry Davidovich Gogoladze

Abstract

Abstract In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible.

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Available abstract

Key concepts: Mathematics, Fourier series, Trigonometric series, Trigonometric functions, Trigonometric polynomial, Differentiation of trigonometric functions, Exponential function, Periodic function