Two-Sided Estimates of the $$K$$-Functional for Spaces of Functions of Generalized Bounded Variation

Author:

Berezhnoi E. I.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. N. Wiener, “The quadratic variation of a function and its Fourier coefficients”, Mass. J. Math., 3 (1924), 72–94.

2. L. C. Young, “Sur une généralization de la notion de variation de poissance $$p$$-ieme bornee au sence de N. Wiener, et sur la convergence des séries de Fourier”, C. R. Acad. Sci. Paris Ser. I Math., 204 (1937), 470–472.

3. Z. A. Chanturiya, “The modulus of variation of a function and its application in the theory of Fourier series”, Dokl. Akad. Nauk SSSR, 214:1 (1974), 63–66; English transl.: Sov. Math. Dokl., 15 (1974), 67–70.

4. D. Waterman, “On convergence of Fourier series of functions of generalized variation”, Studia Math., 44 (1972), 107–117.

5. S. Perlman, “Functions of generalised variation”, Fund. Math., 105:3 (1979/80), 200–211.

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