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Some New Hermite–Hadamard and Related Inequalities for Convex Functions via (p , q)-Integral.
- Source :
-
Entropy . Jul2021, Vol. 23 Issue 7, p828. 1p. - Publication Year :
- 2021
-
Abstract
- In this investigation, for convex functions, some new (p , q) –Hermite–Hadamard-type inequalities using the notions of (p , q) π 2 derivative and (p , q) π 2 integral are obtained. Furthermore, for (p , q) π 2 -differentiable convex functions, some new ( p , q ) estimates for midpoint and trapezoidal-type inequalities using the notions of (p , q) π 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONVEX functions
*INTEGRAL inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 10994300
- Volume :
- 23
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Entropy
- Publication Type :
- Academic Journal
- Accession number :
- 151561245
- Full Text :
- https://doi.org/10.3390/e23070828