NEW QUANTUM INEQUALITIES OF HERMITE-HADAMARD TYPE VIA GREEN FUNCTION

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Khan S., BUDAK H., Chu Y.

Mathematica, cilt.64, sa.2, ss.233-246, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.24193/mathcluj.2022.2.08
  • Dergi Adı: Mathematica
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.233-246
  • Anahtar Kelimeler: convex function, Hermite-Hadamard inequality, q-integral, quantum calculus
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, the Hermite-Hadamard inequality for qκ2-integrals is demonstrated by a new method called the Green Function Technique. For this purpose, we first obtain certain identities. Then, by using these identities, we establish many new inequalities for functions whose second derivative is convex, monotone and concave in absolute value.