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Siberian Mathematical Journal

, Volume 30, Issue 1, pp 36–44 | Cite as

Question of equivalence of the classical methods of summation of orthogonal series

  • V. F. Gaposhkin
Article
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Keywords

Classical Method Orthogonal Series 
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Literature Cited

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    S. Kaczmarz, “Über die Reihen von allgemeinen Orthogonalfunktionen,” Math. Ann.,96, 148–151 (1925).Google Scholar
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    A. Zygmund, “Sur l'application de la première moyenne arithmetique dans la théorie des series orthogonales,” Fundam. Math.,10, 356–362 (1927).Google Scholar
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    S. Kaczmarz and H. Steinhaus, Theory of Orthogonal Series [Russian translation], Fizmatgiz, Moscow (1958).Google Scholar
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    G. Alexits, Problems of Convergence of Orthogonal Series [Russian translation], IL, Moscow (1963).Google Scholar
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    O. A. Ziza, “The summability of orthogonal series by Euler's methods,” Mat. Sb.,66, No. 3, 354–378 (1965).Google Scholar
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    G. Hardy, Divergent Series [Russian translation], IL, Moscow (1951).Google Scholar
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    F. Moricz, “A generalization of some classical inequalities in the theory of orthogonal series,” Mat. Zametki,17, No. 2, 219–230 (1975).Google Scholar
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    R. J. Sterfling, “Convergence properties of Sn under moment restrictions,” Ann. Math. Stat.,41, No. 4, 1235–1248 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. F. Gaposhkin

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