Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via (p,q)-Calculus
Abstract
:1. Introduction
2. Preliminaries
- (i)
- ;
- (ii)
- for .
- (i)
- ;
- (ii)
- ;
- (iii)
- for .
3. Main Results
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Prabseang, J.; Nonlaopon, K.; Tariboon, J.; Ntouyas, S.K. Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via (p,q)-Calculus. Mathematics 2021, 9, 446. https://doi.org/10.3390/math9040446
Prabseang J, Nonlaopon K, Tariboon J, Ntouyas SK. Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via (p,q)-Calculus. Mathematics. 2021; 9(4):446. https://doi.org/10.3390/math9040446
Chicago/Turabian StylePrabseang, Julalak, Kamsing Nonlaopon, Jessada Tariboon, and Sotiris K. Ntouyas. 2021. "Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via (p,q)-Calculus" Mathematics 9, no. 4: 446. https://doi.org/10.3390/math9040446