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Quantum Integral Inequalities for Generalized Convex Functions

In: Progress in Approximation Theory and Applicable Complex Analysis

Author

Listed:
  • Muhammad Aslam Noor

    (King Saud University
    COMSATS Institute of Information Technology)

  • Khalida Inayat Noor

    (King Saud University
    COMSATS Institute of Information Technology)

  • Muhammad Uzair Awan

    (Government College University)

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.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Muhammad Uzair Awan, 2017. "Quantum Integral Inequalities for Generalized Convex Functions," Springer Optimization and Its Applications, in: Narendra Kumar Govil & Ram Mohapatra & Mohammed A. Qazi & Gerhard Schmeisser (ed.), Progress in Approximation Theory and Applicable Complex Analysis, pages 219-235, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-49242-1_11
    DOI: 10.1007/978-3-319-49242-1_11
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