-DISTRIBUTION FUNCTION AND BC-REARRANGEMENT OF -MEASURABLE FUNCTIONS WITH HYPERBOLIC NORM

Eryılmaz İ.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.781-796, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.46939/j.sci.arts-24.4-a02
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.781-796
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This paper investigates the distribution function and nonincreasing rearrangement of BC-valued functions equipped with the hyperbolic norm. The concept of the distribution function for BC-valued functions is introduced, which characterizes the cumulative distribution of values taken by the function. Next, it is delved into the nonincreasing rearrangement of BC-valued functions with the hyperbolic norm. By exploring the nonincreasing rearrangement of BC-valued functions, we determined how the hyper bolic norm influences the rearrangement process and its impact on the function's behavior and properties.