Research Article

Converse Theorems for the Cesàro Summability of Improper Integrals

Volume: 24 Number: 1 February 1, 2020
EN

Converse Theorems for the Cesàro Summability of Improper Integrals

Abstract

In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.

Keywords

References

  1. İ. Çanak, Ü. Totur, “A Tauberian theorem for Cesàro summability of integrals,” Appl. Math. Lett., vol. 24 no. 3, pp. 391–395, 2011.
  2. İ. Çanak, Ü. Totur, “Tauberian conditions for Cesàro summability of integrals,” Appl. Math. Lett., vol. 24 no. 6, pp. 891–896, 2011.
  3. İ. Çanak, Ü. Totur, “Tauberian conditions for the integrability of functions,” Positivity, vol. 21 no. 1, pp. 73–83, 2017.
  4. G. H. Hardy, “Divergent Series,” Clarendon Press, Oxford, 1949.
  5. A. Laforgia, “A theory of divergent integrals,” Appl. Math. Lett., vol. 22 no. 6, pp. 834–840, 2009.
  6. F. Móricz, Z. Németh, “Tauberian conditions under which convergence of integrals follows from summability over ,” Anal. Math., vol. 26, no. 1, pp. 53–61, 2000.
  7. F. Móricz, “Necessary and sufficient Tauberian conditions in the case of weighted mean summable integrals over ,” Math. Inequal. Appl., vol. 7, no. 1, pp. 87–93, 2004.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2020

Submission Date

July 30, 2019

Acceptance Date

September 26, 2019

Published in Issue

Year 2020 Volume: 24 Number: 1

APA
Sezer, S. A., & Savaş, R. (2020). Converse Theorems for the Cesàro Summability of Improper Integrals. Sakarya University Journal of Science, 24(1), 45-48. https://doi.org/10.16984/saufenbilder.598645
AMA
1.Sezer SA, Savaş R. Converse Theorems for the Cesàro Summability of Improper Integrals. SAUJS. 2020;24(1):45-48. doi:10.16984/saufenbilder.598645
Chicago
Sezer, Sefa Anıl, and Rahmet Savaş. 2020. “Converse Theorems for the Cesàro Summability of Improper Integrals”. Sakarya University Journal of Science 24 (1): 45-48. https://doi.org/10.16984/saufenbilder.598645.
EndNote
Sezer SA, Savaş R (February 1, 2020) Converse Theorems for the Cesàro Summability of Improper Integrals. Sakarya University Journal of Science 24 1 45–48.
IEEE
[1]S. A. Sezer and R. Savaş, “Converse Theorems for the Cesàro Summability of Improper Integrals”, SAUJS, vol. 24, no. 1, pp. 45–48, Feb. 2020, doi: 10.16984/saufenbilder.598645.
ISNAD
Sezer, Sefa Anıl - Savaş, Rahmet. “Converse Theorems for the Cesàro Summability of Improper Integrals”. Sakarya University Journal of Science 24/1 (February 1, 2020): 45-48. https://doi.org/10.16984/saufenbilder.598645.
JAMA
1.Sezer SA, Savaş R. Converse Theorems for the Cesàro Summability of Improper Integrals. SAUJS. 2020;24:45–48.
MLA
Sezer, Sefa Anıl, and Rahmet Savaş. “Converse Theorems for the Cesàro Summability of Improper Integrals”. Sakarya University Journal of Science, vol. 24, no. 1, Feb. 2020, pp. 45-48, doi:10.16984/saufenbilder.598645.
Vancouver
1.Sefa Anıl Sezer, Rahmet Savaş. Converse Theorems for the Cesàro Summability of Improper Integrals. SAUJS. 2020 Feb. 1;24(1):45-8. doi:10.16984/saufenbilder.598645


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