Two-Dimensional Trapezium Inequalities via pq-Convex Functions

Muhammad Uzair Awan (), Muhammad Aslam Noor (), Khalida Inayat Noor () and Themistocles M. Rassias ()
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Muhammad Uzair Awan: Government College University
Muhammad Aslam Noor: COMSATS University Islamabad
Khalida Inayat Noor: COMSATS University Islamabad
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 21-34 from Springer

Abstract: Abstract We establish some new two-dimensional trapezium-like inequalities involving partial differentiable pq-convex functions on rectangle. The concept of pq-convex functions also includes the harmonic convex functions and convex functions as special cases. These results represent refinement and improvement of the known results. Some cases are discussed, which can be obtained as applications of the results. The ideas and techniques of this chapter may be a starting point for further research.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_2

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DOI: 10.1007/978-3-030-60622-0_2

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