A new version of (<i>p</i>, <i>q</i>)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in (<i>p</i>, <i>q</i>)-calculus
BOUNDARY VALUE PROBLEMS, cilt.2022, sa.1, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2022 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.1186/s13661-022-01665-3
- Dergi Adı: BOUNDARY VALUE PROBLEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Kocaeli Üniversitesi Adresli: Hayır
Özet
In this paper, we conduct a research on a new version of the (p, q)-Hermite-Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p, q)-midpoint and (p, q)-trapezoidal inequalities for special (p, q)-differentiable functions by using the notions of left and right (p, q)-derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p, q)-functions to confirm the correctness of newly established results.