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Generalization of the Rogosinski-Bernshtein trigonometric summability methods

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Literature cited

  1. R. P. Agnew, “Rogosinski-Bernstein trigonometric summability methods and modified arithmetic means,” Ann. Math., Second Series,56, 537–559 (1952).

    Google Scholar 

  2. J. Karamata, “Sur la sommabilité de S. Bernstein et quelques procédés de sommation qui s'y rattachent,” Rec. Math. (Mat. Sb.),21, 13–24 (1947).

    Google Scholar 

  3. J. Karamata, “Über die Beziehung zwischen dem Bernsteinschen und Cesàroschen Limitier-ungsverfahren,” Math. Z.,52, 305–306 (1949).

    Google Scholar 

  4. P. Kharchiladze, “Sur la methode de sommation de S. N. Bernstein,” Rec. Math. (Mat. Sb.),11, 121–148 (1942).

    Google Scholar 

  5. G. M. Petersen, “A note on divergent series,” Can. J. Math.,4, 445–454 (1952).

    Google Scholar 

  6. G. M. Petersen, “Methods of summation,” Pac. J. Math.,4, 73–77 (1954).

    Google Scholar 

  7. W. Rogosinski, “Über die Abschnitte trigonometrischer Reihen,” Math. Ann.,95, 110–134 (1925).

    Google Scholar 

  8. W. Rogosinski, “Reihensummierung durch Abschnittskoppelungen,” Math. Z.,25, 132–149 (1926).

    Google Scholar 

  9. O. Toeplitz, “Über allgemeine linear Mittelbildungen,” Pr. Mat. Fiz.,22, 113–120 (1911).

    Google Scholar 

  10. G. H. Hardy, Divergent Series, Clarendon Press, Oxford (1949).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp. 772–777, November–December, 1988.

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Al'-Madi, A.K. Generalization of the Rogosinski-Bernshtein trigonometric summability methods. Ukr Math J 40, 652–658 (1988). https://doi.org/10.1007/BF01057186

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  • DOI: https://doi.org/10.1007/BF01057186

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