Some novel estimations of hadamard type inequalities for different kinds of convex functions via tempered fractional integral operator

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Gül E., Yalçin A.

Filomat, cilt.38, sa.10, ss.3683-3690, 2024 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 10
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2410683g
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3683-3690
  • Anahtar Kelimeler: Hermite-Hadamard type inequalities, Integral inequalities, s−convex functions, Tempered fractional integral operator
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this article, Hermite-Hadamard type inequalities for (h, m)−convex and s−convex functions are established by using tempered fractional integral operators. Also, some integral inequalities related to the right and left sides of the Hermite-Hadamard inequality via tempered fractional integrals are proved.