Some trapezoid and midpoint type inequalities for newly defined quantum integrals

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BUDAK H.

Proyecciones, cilt.40, sa.1, ss.199-215, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22199/issn.0717-6279-2021-01-0013
  • Dergi Adı: Proyecciones
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Fuente Academica Plus, zbMATH, DIALNET
  • Sayfa Sayıları: ss.199-215
  • Anahtar Kelimeler: ;Midpoint, Convex function, Hermite-Hadamard inequality, q-integral, Quantum calculus, Trapezoid
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we first obtain prove two new identities for the quantum integrals. Then we establish Trapezoid and Midpoint type inequalities for quantum integrals defined by Bermudo et al. in [3]. The inequalities in this study generalize some results obtained in earlier works