Quantum Integral Inequalities for Generalized Preinvex Functions

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

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 237-268 from Springer

Abstract: Abstract We consider the generalized preinvex functions, which unify the preinvex and φ-convex functions. We give an account of the quantum integral inequalities via the generalized preinvex functions. Results obtained in this chapter represent significant and important refinements of the known results. These inequalities involve Riemann-type quantum integrals. We would like to emphasize that these results reduce to classical results, when q → 1. It is expected that ideas and techniques given here would inspire further research.

Keywords: Preinvex functions; Integral inequalities; Quantum estimates; Convex functions; Invex 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_12

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DOI: 10.1007/978-3-319-49242-1_12

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