Some Quantum Hermite–Hadamard-Type Inequalities for General Convex Functions

Muhammad Aslam Noor () and Themistocles M. Rassias ()
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Muhammad Aslam Noor: COMSATS Institute of Information Technology
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 429-441 from Springer

Abstract: Abstract In this chapter, we derive some quantum Hermite–Hadamard type inequalities for general convex functions. A new integral identity for q-differentiable functions is derived, and with the help of this, we obtain some new Hermite–Hadamard-type inequalities for q-differentiable convex functions.

Keywords: Hermite-Hadamard Type Inequalities; General Convex Functions; Quantum Calculus; Frechet Derivative; Finite Interval (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_21

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DOI: 10.1007/978-3-319-31317-7_21

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