SavedAdd your journal

Journals / Sakarya University Journal of Science / 2020 / Cilt: 24 Sayı: 1

Converse Theorems for the Cesàro Summability of Improper Integrals

Sefa Anıl SEZER
Rahmet SAVAŞ
Pages
45–48
Publication Date
2020-02-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.
📊
Key Findings & Data:In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.
💡
Conclusion & Impact:In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Converse theorem · Tauberian condition

Abstract

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

🔖

Cite This Article

SEZER, S. A., SAVAŞ, R. (2020). Converse Theorems for the Cesàro Summability of Improper Integrals. Sakarya University Journal of Science, Cilt: 24 Sayı: 1, 45–48. https://ajindex.com/articles/941935

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (3)

  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. G. H. Hardy, “Divergent Series,” Clarendon Press, Oxford, 1949. A. Laforgia, “A theory of divergent integrals,” Appl. Math. Lett., vol. 22 no. 6, pp. 834–840, 2009. 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. 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.