Chebyshev type inequalities involving extended generalized fractional integral operators


SET E., Ozdemir M. E., Demirbas S.

AIMS MATHEMATICS, cilt.5, sa.4, ss.3573-3583, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020232
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3573-3583
  • Anahtar Kelimeler: Chebyshev inequality, fractional integral operators, EXTENSION
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. So, results of Dahmani et al. from [4] are generalized. Also, it is point out that new results are obtained for different fractional integral operators with the help of special selection of parameters.