New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings
Date
2020
Authors
Kalsoom, Humaira
Latif, Muhammad Amer
Rashid, Saima
Baleanu, Dumitru
Chu, Yu-Ming
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Abstract
In the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (α, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.
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Keywords
(p,q)-Quantum Calculus, (α,m)-Convex Functions, Hermite-Hadamard Inequality, Simpson's Type Inequality
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Citation
Kalsoom, Humaira;...et.al. (2020). "New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings", Open Mathematics, Vol.18, No.1, pp.1830-1854.
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Source
Open Mathematics
Volume
18
Issue
1
Start Page
1830
End Page
1854