New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings
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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, 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
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.
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8
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18
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1
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1830
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1854
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Scopus : 7
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