Absolute convergence of multiple Fourier series of functions of $$\phi \left( \varLambda ^1,\ldots ,\varLambda ^N\right) $$ ϕ Λ 1 , … , Λ N -bounded variation

Author:

Ghodadra Bhikha Lila

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Reference21 articles.

1. Adams, C.R., Clarkson, J.A.: Properties of functions $$f(x, y)$$ f ( x , y ) of bounded variation. Trans. Amer. Math. Soc. 36, 711–730 (1934)

2. Bakhvalov, A.N.: Fourier coefficients of functions from many dimensional classes of bounded $$\Lambda $$ Λ -variation. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1, 10–18 (2011). [Moscow Univ. Math. Bull. 66(1), 8–16 (2011)]

3. Bary, N.K.: A Treatise on Trigonometric Series, Vols. I and II. Pergamon, New York (1964)

4. Edwards, R.E.: Fourier Series, A Modern Introduction, Vol. 1, 2nd edn. Springer, Berlin (1979)

5. Ghodadra, B.L.: An application of Jensen’s inequality in determining the order of magnitude of multiple Fourier coefficients of functions of bounded $$\phi $$ ϕ -variation. Math. Inequal. Appl. 17(2), 707–718 (2014)

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