A Study On Newton-type Inequalities For Fractional Operator and Application

Munir A., BUDAK H., Faiz I., Rathour L., Kara H., Kashuri A.

Palestine Journal of Mathematics, cilt.14, sa.1, ss.298-311, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.298-311
  • Anahtar Kelimeler: fractional integrals, Hölder’s inequality, Newton-type inequalities, s-φ-convex function, power-mean inequality
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The main goal of this article is to establish the Newton-type inequalities for the Caputo-Fabrizio fractional operator. We use the Peano kernel to obtain the Newton-type inequalities for the s-φ-convex function. We present several new error bounds and estimations are appraised by employing some well-known inequalities Hölder and power-mean. Additionally, we have given an application to special means.