A NEW GENERALIZATION OF q-HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR p, (p-s) AND MODIFIED (p-s)-CONVEX FUNCTIONS

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Gulshan G., Hussain R., BUDAK H.

Fractional Differential Calculus, cilt.12, sa.2, ss.147-158, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.7153/fdc-2022-12-10
  • Dergi Adı: Fractional Differential Calculus
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.147-158
  • Anahtar Kelimeler: (p-s) -convex functions, Hermite-Hadamard inequality, modified (p-s) -convex functions, p-convex functions, qa integral, qb -integral
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we develop three new quantum Hermite-Hadamard inequalities for the class of p, (p-s) and modified type ( p-s) -convex functions by utilizing left and right quantum integral. As special cases of these inequalities, we get known and new Hermite-Hadamard type inequality for modified type (p-s) -convex functions. The ideas and techniques of this article may be the starting point for further research in this field.