ON MIDPOINT AND TRAPEZOID TYPE INEQUALITIES FOR MULTIPLICATIVE INTEGRALS


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Khan S., BUDAK H.

Mathematica, cilt.64, sa.1, ss.95-108, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.24193/mathcluj.2022.1.11
  • Dergi Adı: Mathematica
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.95-108
  • Anahtar Kelimeler: Hermite-Hadamard inequality, integral inequalities, multiplicative convex function
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to establish some Hermite-Hadamard type inequalities for multiplicative convex functions. First, we obtain two equal-ity for∗ differentiable functions. Then using these inequalities and multiplicative convex functions, we establish some inequalities related to the right and left hand side of Hermite-Hadamard inequality for multiplicative integrals.