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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

A study on rare $m _x$ sets and rarely $m _x$ continuous functions

Sharmistha Bhattacharya HALDER
Sayfa
295–303
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some properties of these sets are studied and it is shown that only the null set is both a rare$m _x$ set and an open $m _x$ set.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of this paper is to introduce the concept of rare $m _x$ sets, dense$m _x$ sets and rarely $m _x$ continuous functions.
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Temel Bulgular & Veri:The aim of this paper is to introduce the concept of rare $m _x$ sets, dense$m _x$ sets and rarely $m _x$ continuous functions.
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Sonuç & Katkı:Some properties of these sets are studied and it is shown that only the null set is both a rare$m _x$ set and an open $m _x$ set.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The aim of this paper is to introduce the concept of rare $m _x$ sets, dense$m _x$ sets and rarely $m _x$ continuous functions. Some properties of these sets are studied and it is shown that only the null set is both a rare$m _x$ set and an open $m _x$ set.

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Bu Makaleye Atıf Yap

HALDER, S. B. (2022). A study on rare $m _x$ sets and rarely $m _x$ continuous functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 295–303. https://ajindex.com/articles/530856

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Kaynakça (10)

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  3. Caldas, M. and Jafari, S. A strong form of rare continuity, Soochow Journal of Mathematics 32 (1), 161–169, 2006
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  9. Popa, V. and Noiri, T. On M - continuous functions, Anal. Univ. ”Dunarea de Jos” Galati Ser. Mat. Fiz. Mec. Teor. Fasc. II 18 (23), 31–41, 2000
  10. Popa, V. and Noiri, T. Slightly m - continuous functions, Radovi Matematicki 10, 219–232, 2001.