On |C,1|k Integrability of Improper Integrals

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H. N. Özgen, On |C,1|k Integrability of Improper Integrals, Int. J. Anal. Appl., 11 (1) (2016), 19-22.

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H. N. Özgen

Abstract

In this paper, we introduce the concept of | C,1 |k,k ≥ 1, integrability of improper integrals and we prove a known theorem of Mazhar [3] by using this definition.

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References

  1. I. C ¸anak andÃœ. Totur, A Tauberian theorem for Cesà ro summability factors of integrals, Appl. Math. Lett. 24 (2011), 391-395.
  2. T. M. Flett, On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc. 7 (1957), 113-141.
  3. S. M. Mazhar, On | C,1 |ksummability factors of infinite series, Indian J. Math. 14 (1972), 45-48.