Some inequalities for Franklin series

Author:

Бочкарев С. В.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference6 articles.

1. С. В. Бочкарев8, Суще ствование базиса в пр остранстве функций, а налитических в круге, и некоторые свойства системы Франклина,М атем. сб.,95 (1974), 3–18.

2. Z. Ciesielski, Properties of the orthonormal Franklin system,Studio Math.,23 (1963), 141–157.

3. Z. Ciesielski, Properties of the orthonormal Franklin system. II,Studio Math.,27 (1966), 289–323.

4. Ph. Franklin, A set of continuous orthogonal functions,Math. Ann.,100 (1928), 522–529.

5. A. Zygmund, On a theorem of Marcinkiewicz concerning interpolation of operators,J. Math. Pures Appl.,35 (1956), 223–248.

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1. On a Property of the Franklin System in C[0, 1] and L1[0, 1];Mathematical Notes;2020-01

2. Unconditionality of periodic orthonormal spline systems in $L^p$;Studia Mathematica;2019

3. The Gibbs phenomenon for general Franklin systems;Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences);2017-07

4. Uniqueness theorem for multiple Franklin series;Mathematical Notes;2017-01

5. On local equivalence of the majorant of partial sums and Paley function of Franklin series;Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences);2017-01

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