Some New Simpson's and Newton's Formulas Type Inequalities for Convex Functions in Quantum Calculus

Siricharuanun P., Erden S., Ali M. A., Budak H., Chasreechai S., Sitthiwirattham T.

MATHEMATICS, sa.16, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/math9161992
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, using the notions of q(kappa 2)-quantum integral and q(kappa 2)-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors.