New bounds for <i>q</i>-midpoint-type inequalities via twice <i>q</i>-differentiable functions on quantum calculus

Alp N., Budak H., Erden S., Sarikaya M. Z.

SOFT COMPUTING, cilt.26, sa.19, ss.10321-10329, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 19
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s00500-022-07345-9
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.10321-10329
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

The aim of this work is to establish new bounds for q-midpoint-type integral inequalities for twice q-differentiable convex functions. We first prove some lemmas which are useful for our main results. Then, we present some midpoint-type inequalities for twice q-differentiable functions. With all these, we showed the results we found in the classical analysis by using q -> 1(-).