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Quantum Integral Inequalities for Generalized Convex Functions

Muhammad Aslam Noor (), Khalida Inayat Noor () and Muhammad Uzair Awan ()
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Muhammad Aslam Noor: King Saud University
Khalida Inayat Noor: King Saud University
Muhammad Uzair Awan: Government College University

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 219-235 from Springer

Abstract: Abstract In this chapter, we consider generalized convex functions involving two arbitrary functions. We establish some new quantum integral inequalities for the generalized convex functions. Several spacial cases are also discussed which can be obtained from our main results. We expect that the techniques and ideas developed here would be useful in future research. Exploring the applications of general convex functions and quantum integral inequalities is an interesting and fascinating problem.

Keywords: Generalized convex functions; Quantum estimates; Hermite–Hadamard inequalities; Convex functions; Convex sets; 26A33; 26D15; 49J40; 90C33 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-49242-1_11

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DOI: 10.1007/978-3-319-49242-1_11

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