Some Remarks on Local Fractional Integral Inequalities Involving Mittag-Leffler Kernel Using Generalized (<i>E, h</i>)-Convexity

Saleh W., Lakhdari A., Almutairi O., Kilicman A.

MATHEMATICS, cilt.11, sa.6, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/math11061373
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In the present work, we introduce two new local fractional integral operators involving Mittag-Leffler kernel on Yang's fractal sets. Then, we study the related generalized Hermite-Hadamard-type inequality using generalized (E,h)-convexity and obtain two identities pertaining to these operators, and the respective first- and second-order derivatives are given. In terms of applications, we provide some new generalized trapezoid-type inequalities for generalized (E,h)-convex functions. Finally, some special cases are deduced for different values of d, E, and h.