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

Converse Theorems for the Cesàro Summability of Improper Integrals

Sefa Anıl SEZER
Rahmet SAVAŞ
Sayfa
45–48
Yayın Tarihi
2020-02-01
DOI
—
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In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.
📊
Temel Bulgular & Veri:In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.
💡
Sonuç & Katkı:In this paper we prove converse theorems to obtain usual convergence of improper integrals from Cesàro summability.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Converse theorem · Tauberian condition

Abstract

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

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Bu Makaleye Atıf Yap

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

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Kaynakça (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.