Some new and general versions of q-Hermite-Hadamard-Mercer inequalities

Ali M. A., Budak H., Kobis E.

FILOMAT, cilt.37, sa.14, ss.4531-4548, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 14
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2314531a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4531-4548
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we establish two new different and general variants of q-Hermite-Hadamard-Mercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into some existing and new inequalities for different choices of q E (0,1) and lambda E (0,1] . Finally, we study some mathematical examples to assure the validity of newly established inequalities.