Jensen-Mercer variant of Hermite-Hadamard type inequalities via generalized fractional operator

Butt S. I., Nadeem M., Nasir J., Akdemir A. O., Orucova M.

Filomat, vol.38, no.29, pp.10463-10483, 2024 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 38 Say: 29
  • Nəşr tarixi: 2024
  • Doi nömrəsi: 10.2298/fil2429463b
  • jurnalın adı: Filomat
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.10463-10483
  • Açar sözlər: Convex functions, Hermite-Hadamard inequalities, Jensen inequality, Jensen-Mercer inequality, Katugampola-fractional integrals
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

The main motivation of this study is to present new Hermite-Hadamard-Mercer type inequalities via a certain fractional operators. We establish several new identities and give Jensen-Mercer variants of Hermite-Hadamard-type inequalities for differentiable and convex mappings via Katugampola-fractional operators. We establish connections of our results with several renowned results in literature. Here, we gave new Lemmas having identities for differentiable functions and construct related inequalities. Main findings of this study would provide elegant connections and general variants of well known results established recently. In future, we are going to extend this work for coordinate convex functions. This research is open for further work by investigating such results for other class of convex functions.