KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 2

CESÀRO SUMMABILITY OF INTEGRALS OF FUZZY-NUMBER-VALUED FUNCTIONS

Enes YAVUZ
Özer TALO
Hüsamettin COŞKUN
Sayfa
38–49
Yayın Tarihi
2018-08-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, fuzzy analogues of Schmidt type slow decreaseand Landau type one-sided Tauberian conditions have been obtained

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present study, we have introduced Cesàro summability ofintegrals of fuzzy-number-valued functions and given one-sided Tauberian conditions under which convergence of improper fuzzy Riemann integrals followsfrom Cesàro summability.
📊
Temel Bulgular & Veri:In the present study, we have introduced Cesàro summability ofintegrals of fuzzy-number-valued functions and given one-sided Tauberian conditions under which convergence of improper fuzzy Riemann integrals followsfrom Cesàro summability.
💡
Sonuç & Katkı:Also, fuzzy analogues of Schmidt type slow decreaseand Landau type one-sided Tauberian conditions have been obtained
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cesàro summability · Tauberian theorems · improper integrals

Abstract

In the present study, we have introduced Cesàro summability ofintegrals of fuzzy-number-valued functions and given one-sided Tauberian conditions under which convergence of improper fuzzy Riemann integrals followsfrom Cesàro summability. Also, fuzzy analogues of Schmidt type slow decreaseand Landau type one-sided Tauberian conditions have been obtained

🔖

Bu Makaleye Atıf Yap

YAVUZ, E., TALO, Ö., COŞKUN, H. (2018). CESÀRO SUMMABILITY OF INTEGRALS OF FUZZY-NUMBER-VALUED FUNCTIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 67 - Sayı: 2, 38–49. https://ajindex.com/articles/747143

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. Fontes, F. G. and Solís, F. J., Iterating the Cesàro Operators, Proc. Amer. Math. Soc. 136(6), –2153 (2008). González, M. and León-Saavedra, F., Cyclic behavior of the Cesàro operator on L2(0; 1), Proc. Amer. Math. Soc. 137(6), 2049–2055 (2009).
  2. Arvanitidis, A. G. and Siskakis, A. G., Cesàro Operators on the Hardy Spaces of the Half- Plane, Canad. Math. Bull. 56, 229–240 (2013).
  3. Albanese, A. A., Bonet J. and Ricker, W. J., On the continuous Cesàro operator in certain function spaces, Positivity 19, 659–679 (2015).
  4. Lacruz, M., León-Saavedra F., Petrovic, S. and Zabeti, O., Extended eigenvalues for Cesàro operators, J. Math. Anal. Appl. 429, 623–657 (2015).
  5. Titchmarsh, E. C., Introduction to the theory of Fourier integrals, Clarendon Press,
  6. Oxford (1937).
  7. Hardy, G. H., Divergent series. Oxford Univ. Press,
  8. Oxford (1949).
  9. Korevaar, J., Tauberian Theory: A Century of Developments. Springer-Verlag, Berlin (2004). Móricz, F. and Németh, Z., Tauberian conditions under which convergence of integrals follows from summability (C; 1) over R+. Anal. Math. 26, 53–61 (2000). Çanak, ·I. and Totur, Ü., A Tauberian theorem for Cesàro summability of integrals, Appl. Math. Lett. 24, 391–395 (2011). Çanak, ·I. and Totur, Ü., Tauberian conditions for Cesàro summability of integrals. Appl. Math. Lett. 24, 891–896 (2011).
  10. Totur, Ü. and Çanak, ·I., One-sided Tauberian conditions for (C,1) summability method of integrals, Math. Comput. Model. 55, 1813–1818 (2012). Çanak, ·I. and Totur, Ü., Alternative proofs of some classical type Tauberian theorems for Cesàro summability of integrals, Math. Comput. Model. 55(3), 1558–1561 (2012).
  11. Totur, Ü. and Çanak, ·I., On Tauberian conditions for (C,1) summability of integrals, Revista de la Unión Matemática Argentina 54(2), 59–65 (2013).
  12. Totur, Ü. and Çanak, ·I., On the (C,1) summability method of improper integrals, Appl. Math. Comput. 219(24), 11065–11070 (2013).
  13. Giang, D. V. and Móricz, F., The strong summability of Fourier transforms, Acta Math. Hungar. 65(4), 403–419 (1994). Móricz, F., Strong Cesàro summability and statistical limit of double Fourier integrals, Acta Sci. Math. (Szeged) 71, 159–174 (2005).
  14. Brown, G., Feng D. and Móricz, F., Strong Cesàro Summability of Double Fourier Integrals, Acta Math. Hungar. 115(1-2), 1–12 (2007).
  15. Mishra, V. N., Khatri K. and Mishra, L. N., Strong Cesàro Summability of Triple Fourier Integrals, Fasc. Math. 53, 95–112 (2014).
  16. Dubois, D. and Prade, H., Towards fuzzy diğerential calculus, Fuzzy Set and