ON NEW CHEBYSHEV INEQUALITIES VIA FRACTIONAL OPERATORS


Alan E. A., ÇELİK B., Set E., Dahmani Z.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.2, ss.557-569, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3619
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.557-569
  • Anahtar Kelimeler: Chebyshev inequality, generalized fractional integral operators, new conformable fractional integral operators, Saigo fractional integral operators
  • Marmara Üniversitesi Adresli: Hayır

Özet

The aim of this paper is to establish several fractional integral inequalities related to the weighted and the extended Chebyshev functional. We use generalized fractional integral operators, new conformable fractional integral operators and Saigo fractional integral operators to prove our results. This study states that our findings are more convenient and efficient than other available results.