An s-first return examination on s-sets

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Bongiorno D., Barbieri G., Khalili Golmankhaneh A.

Journal of Analysis, cilt.32, sa.3, ss.1619-1635, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s41478-023-00707-y
  • Dergi Adı: Journal of Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1619-1635
  • Anahtar Kelimeler: 26A39, 26A42, 28A80, s-HK integral, s-Riemann integral, s-set
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The purpose of this work is to analyze an integral of the s-Riemann type, where the gauge is a positive constant but the points involved in the s-Riemann sums are not randomly chosen. We demonstrate that, under this novel approach, every Hs-Lebesgue integrable function is integrable.