New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings
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Date
2020
Journal Title
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Volume Title
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Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Top 10%
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.
Description
Keywords
(p,q)-Quantum Calculus, (α,m)-Convex Functions, Hermite-Hadamard Inequality, Simpson's Type Inequality, Financial economics, Economics, Geometry, Matrix Inequalities and Geometric Means, Orthogonal Polynomials, Convexity, 26d15, Coefficient Estimates, QA1-939, FOS: Mathematics, 26a51, Approximation, (α,m)-convex functions, 26d10, simpson’s type inequality, hermite-hadamard inequality, Conformal Mapping, Applied Mathematics, Geometric Function Theory and Complex Analysis, Matrix Inequalities, Quasiconformal Mappings, (p,q)-quantum calculus, Regular polygon, Combinatorics, Physical Sciences, Geometry and Topology, Mathematics, Convexity of real functions in one variable, generalizations, \((\alpha, m)\)-convex functions, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
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.
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
8
Source
Open Mathematics
Volume
18
Issue
1
Start Page
1830
End Page
1854
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Citations
CrossRef : 8
Scopus : 7
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Mendeley Readers : 2
