New Hadamard Type Inequalities for Modified h-Convex Functions


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Breaz D., Yıldız Ç., Cotîrlă L., Rahman G., Yergöz B.

FRACTAL AND FRACTIONAL, cilt.7, sa.3, ss.1-12, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/fractalfract7030216
  • Dergi Adı: FRACTAL AND FRACTIONAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1-12
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in various forms are also established for different values of the h(v) function. We believe that the approach presented in this paper will inspire more research in this area.