Abstract
The conventional monotonicity hypothesis on the coefficients given in the sharpest lower estimate of the celebrated Tandori-norm is weakened to locally almost monotonicity assumption.
Резюме
В этой работе мы ослабляем условие обычной монотонности коэффициентов в наиточнейшей оценке сниэу энаменитой нормы Тандори до условия локальной почти-монотонности.
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References
G. Alexits, Convergence problems of orthogonal series, Pergamon (New York-Oxford-London-Paris, 1961).
D. E. Menchoff, Sur les séries de fonctions orthogonales, Fundamenta Math., 4(1923), 82–105.
K. Tandori, Über die Konvergenz der Orthogonalreihen. II, Acta Sci. Math. (Szeged), 25(1964), 219–232.
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Dedicated to the memory of my beloved Professor Károly Tandori
Supported by the European Union and co-funded by the European Social Fund under the project “Telemedicine-focused research activities on the field of Matematics, Informatics and Medical sciences” of project number “TÁMOP-4.2.2.A-11/1/KONV-2012-0073”.
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Leindler, L. Lower estimate of Tandori’s norm. Anal Math 40, 25–30 (2014). https://doi.org/10.1007/s10476-014-0103-0
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DOI: https://doi.org/10.1007/s10476-014-0103-0