Some New Hermite-Hadamard and Related Inequalities for Convex Functions via (<i>p</i>,<i>q</i>)-Integral

Vivas-Cortez M., Ali M. A., Budak H., Kalsoom H., Agarwal P.

ENTROPY, cilt.23, sa.7, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/e23070828
  • Dergi Adı: ENTROPY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this investigation, for convex functions, some new (p,q)-Hermite-Hadamard-type inequalities using the notions of (p,q)(pi 2) derivative and (p,q)(pi 2) integral are obtained. Furthermore, for (p,q)(pi 2)-differentiable convex functions, some new (p,q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p,q)(pi 2) integral are offered. It is also shown that the newly proved results for p=1 and q -> 1(-) can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.