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A new version of (p,q)-Hermite–Hadamard's midpoint and trapezoidal inequalities via special operators in (p,q)-calculus.
- Source :
- Boundary Value Problems; 11/9/2022, Vol. 2022 Issue 1, p1-21, 21p
- Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONVEX functions
TRAPEZOIDS
EQUALITY
Subjects
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2022
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 160112827
- Full Text :
- https://doi.org/10.1186/s13661-022-01665-3