Abstract
The aim of the paper is to generalize two fundamental theorems of K. Tandori. The coefficient sequences in his theorems are classical monotone decreasing. We moderate the classical monotonicity to locally almost monotonicity assumption.
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References
G. Alexits, Convergence problems of orthogonal series, Pergamon Press, New York - Oxford - London - Paris, 1961.
L. Leindler, Additions to two theorems of Tandori, Acta Sci. Math. (Szeged), 70 (2004), 117–123.
D. E. Menšov, Sur les séries de fonctions orthogonales, Fundamenta Math., 4 (1923), 82–105.
K. Tandori, Über die orthogonalen Funktionen. I, Acta Sci. Math. (Szeged), 18 (1957), 57–130.
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Dedicated to the memory of my honoured Masters Professors G. Alexits and K. Tandori
Communicated by L. Kérchy
Supported by the European Union and co-funded by the European Social Fund under the project “Telemedicine-focused research activities on the field of Mathematics, Informatics and Medical sciences” of project number “TÁMOP-4.2.2.A-11/1/KONV-2012-0073”.
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Leindler, L. One more refinement of Tandori’s fundamental divergence theorem. ActaSci.Math. 80, 573–579 (2014). https://doi.org/10.14232/actasm-013-777-5
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DOI: https://doi.org/10.14232/actasm-013-777-5