Parametric generalized (<i>p</i>, <i>q</i>)-integral inequalities and applications

Nonlaopon K., Awan M. U., Talib S., Budak H.

AIMS MATHEMATICS, cilt.7, sa.7, ss.12437-12457, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/math.2022690
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.12437-12457
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

A new generalized (p, q)-integral identity is derived. Using this new identity as an auxiliary result, we derive new parametric generalizations of certain integral inequalities using the class of s-preinvex functions. We discuss several new and known special cases of the obtained results. This shows that our results are quite unifying. To demonstrate the significance of the main results, we also present some interesting applications.