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New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings

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2021

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Open Access Color

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Abstract

<p>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 (a alpha, 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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(P,Q)-Quantum Calculus, Hermite-Hadamard Inequality, Simpson's Type Inequality, (Alpha,M)-Convex Functions

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Citation

Kalsoom, Humaira..et al. (2021). "New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings", OPEN MATHEMATICS, Vol. 18, pp. 1830-1854.

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OPEN MATHEMATICS

Volume

18

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Start Page

1830

End Page

1854