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A note on ingham summability and summability by Lambert series

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References

  1. Ganapathy Iyer, V. “Tauberian theorems on generalised Lambert’s series,”J. Ind. Math. Soc. (New Series), 1934,1, 73–87.

    MATH  Google Scholar 

  2. Hardy, G. H.Divergent Series (Oxford, 1949).

  3. Jakimovski, A. and Rajagopal, C. T. “Applications of a theorem of O. Szász for the product of Cesàro and Laplace transforms,”Proc. Amer. Math. Soc., 1954,5, 370–84.

    Article  MATH  MathSciNet  Google Scholar 

  4. Pennington, W. B. “On Ingham summability and summability by Lambert series,”Proc. Camb. Phil. Soc., 1955,51, 65–80.

    Article  MATH  MathSciNet  Google Scholar 

  5. Rajagopal, C. T. “On Riesz summability and summability by Dirichlet’s series,”Amer. J. Math., 1947,69, 371–78, 851–52 and 1954,76, 252–58.

    Article  MATH  MathSciNet  Google Scholar 

  6. — “A note on ‘positive’ Tauberian theorems,”J. London Math. Soc., 1950,25, 315–27.

    Article  MATH  MathSciNet  Google Scholar 

  7. — “Note on some Tauberian theorems of O. Szász,”Pacific J. Math., 1952,2, 377–384.

    MATH  MathSciNet  Google Scholar 

  8. — “A generalization of Tauber’s theorem and some Tauberian constants,”Math. Z., 1953,57, 405–14 and 1954,60, 142–47.

    Article  MATH  MathSciNet  Google Scholar 

  9. — “On a absolute constant in the theory Tauberian series (II),”Proc. Ind. Acad. Sci., 1954,39 A, 272–81.

    MathSciNet  Google Scholar 

  10. — “On an one-sided Tauberian theorem: a further note,”J. Ind. Math. Soc. (New Series), 1953,17, 33–42.

    MATH  MathSciNet  Google Scholar 

  11. — “Theorems on the product of two summability methods with applications,”ibid., 1954,18, 89–105.

    MATH  MathSciNet  Google Scholar 

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(Communicated by Professor B. S. Madhava Rao,f.a.sc.)

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Rajagopal, C.T. A note on ingham summability and summability by Lambert series. Proc. Indian Acad. Sci. 42, 41–50 (1955). https://doi.org/10.1007/BF03053560

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